Finding the Third Proportional to 52,102.50 and 80,727.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,102.50 : 80,727.75 = 80,727.75 : x
2. Step 2: Convert to fraction form
   52,102.50/80,727.75 = 80,727.75/x
3. Step 3: Cross multiply
   52,102.50x = 80,727.75 × 80,727.75
4. Step 4: Simplify right side
   52,102.50x = 6,516,969,620.06
5. Step 5: Solve for x
   x = 6,516,969,620.06/52,102.50
6. Step 6: Final answer
   x = 125,079.79