Finding the Third Proportional to 52,866 and 81,822.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,866 : 81,822.75 = 81,822.75 : x
2. Step 2: Convert to fraction form
   52,866/81,822.75 = 81,822.75/x
3. Step 3: Cross multiply
   52,866x = 81,822.75 × 81,822.75
4. Step 4: Simplify right side
   52,866x = 6,694,962,417.56
5. Step 5: Solve for x
   x = 6,694,962,417.56/52,866
6. Step 6: Final answer
   x = 126,640.23