Finding the Third Proportional to 35,824 and 77,870

Step by Step Solution

1. Step 1: Write the proportion equation
   35,824 : 77,870 = 77,870 : x
2. Step 2: Convert to fraction form
   35,824/77,870 = 77,870/x
3. Step 3: Cross multiply
   35,824x = 77,870 × 77,870
4. Step 4: Simplify right side
   35,824x = 6,063,736,900
5. Step 5: Solve for x
   x = 6,063,736,900/35,824
6. Step 6: Final answer
   x = 169,264.65