Finding the Third Proportional to 51,801.23 and 77,382.28

Step by Step Solution

1. Step 1: Write the proportion equation
   51,801.23 : 77,382.28 = 77,382.28 : x
2. Step 2: Convert to fraction form
   51,801.23/77,382.28 = 77,382.28/x
3. Step 3: Cross multiply
   51,801.23x = 77,382.28 × 77,382.28
4. Step 4: Simplify right side
   51,801.23x = 5,988,016,898.86
5. Step 5: Solve for x
   x = 5,988,016,898.86/51,801.23
6. Step 6: Final answer
   x = 115,596.05