Finding the Third Proportional to 51,813.42 and 77,399.30

Step by Step Solution

1. Step 1: Write the proportion equation
   51,813.42 : 77,399.30 = 77,399.30 : x
2. Step 2: Convert to fraction form
   51,813.42/77,399.30 = 77,399.30/x
3. Step 3: Cross multiply
   51,813.42x = 77,399.30 × 77,399.30
4. Step 4: Simplify right side
   51,813.42x = 5,990,651,156.74
5. Step 5: Solve for x
   x = 5,990,651,156.74/51,813.42
6. Step 6: Final answer
   x = 115,619.68