Finding the Third Proportional to 31,003,064 and 72,414,101

Step by Step Solution

1. Step 1: Write the proportion equation
   31,003,064 : 72,414,101 = 72,414,101 : x
2. Step 2: Convert to fraction form
   31,003,064/72,414,101 = 72,414,101/x
3. Step 3: Cross multiply
   31,003,064x = 72,414,101 × 72,414,101
4. Step 4: Simplify right side
   31,003,064x = 5,243,802,023,638,201
5. Step 5: Solve for x
   x = 5,243,802,023,638,201/31,003,064
6. Step 6: Final answer
   x = 169,138,186.59