Finding the Third Proportional to 51,816.38 and 80,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,816.38 : 80,014.50 = 80,014.50 : x
2. Step 2: Convert to fraction form
   51,816.38/80,014.50 = 80,014.50/x
3. Step 3: Cross multiply
   51,816.38x = 80,014.50 × 80,014.50
4. Step 4: Simplify right side
   51,816.38x = 6,402,320,210.25
5. Step 5: Solve for x
   x = 6,402,320,210.25/51,816.38
6. Step 6: Final answer
   x = 123,557.86