Finding the Third Proportional to 35,158.50 and 77,361.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,158.50 : 77,361.75 = 77,361.75 : x
2. Step 2: Convert to fraction form
   35,158.50/77,361.75 = 77,361.75/x
3. Step 3: Cross multiply
   35,158.50x = 77,361.75 × 77,361.75
4. Step 4: Simplify right side
   35,158.50x = 5,984,840,363.06
5. Step 5: Solve for x
   x = 5,984,840,363.06/35,158.50
6. Step 6: Final answer
   x = 170,224.56