Finding the Third Proportional to 35,359.88 and 77,280.75

Step by Step Solution

1. Step 1: Write the proportion equation
   35,359.88 : 77,280.75 = 77,280.75 : x
2. Step 2: Convert to fraction form
   35,359.88/77,280.75 = 77,280.75/x
3. Step 3: Cross multiply
   35,359.88x = 77,280.75 × 77,280.75
4. Step 4: Simplify right side
   35,359.88x = 5,972,314,320.56
5. Step 5: Solve for x
   x = 5,972,314,320.56/35,359.88
6. Step 6: Final answer
   x = 168,900.89