Finding the Third Proportional to 51,822 and 80,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,822 : 80,023.50 = 80,023.50 : x
2. Step 2: Convert to fraction form
   51,822/80,023.50 = 80,023.50/x
3. Step 3: Cross multiply
   51,822x = 80,023.50 × 80,023.50
4. Step 4: Simplify right side
   51,822x = 6,403,760,552.25
5. Step 5: Solve for x
   x = 6,403,760,552.25/51,822
6. Step 6: Final answer
   x = 123,572.24