Finding the Third Proportional to 35,755.88 and 77,132.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,755.88 : 77,132.25 = 77,132.25 : x
2. Step 2: Convert to fraction form
   35,755.88/77,132.25 = 77,132.25/x
3. Step 3: Cross multiply
   35,755.88x = 77,132.25 × 77,132.25
4. Step 4: Simplify right side
   35,755.88x = 5,949,383,990.06
5. Step 5: Solve for x
   x = 5,949,383,990.06/35,755.88
6. Step 6: Final answer
   x = 166,388.99