Finding the Third Proportional to 51,591.16 and 77,149.55

Step by Step Solution

1. Step 1: Write the proportion equation
   51,591.16 : 77,149.55 = 77,149.55 : x
2. Step 2: Convert to fraction form
   51,591.16/77,149.55 = 77,149.55/x
3. Step 3: Cross multiply
   51,591.16x = 77,149.55 × 77,149.55
4. Step 4: Simplify right side
   51,591.16x = 5,952,052,583.02
5. Step 5: Solve for x
   x = 5,952,052,583.02/51,591.16
6. Step 6: Final answer
   x = 115,369.61