Finding the Third Proportional to 35,228,696,582,924 and 71,461,895,799,040

Step by Step Solution

1. Step 1: Write the proportion equation
   35,228,696,582,924 : 71,461,895,799,040 = 71,461,895,799,040 : x
2. Step 2: Convert to fraction form
   35,228,696,582,924/71,461,895,799,040 = 71,461,895,799,040/x
3. Step 3: Cross multiply
   35,228,696,582,924x = 71,461,895,799,040 × 71,461,895,799,040
4. Step 4: Simplify right side
   35,228,696,582,924x = 5,106,802,551,192,850,878,112,464,896
5. Step 5: Solve for x
   x = 5,106,802,551,192,850,878,112,464,896/35,228,696,582,924
6. Step 6: Final answer
   x = 144,961,439,012,427.50