Finding the Third Proportional to 10,177.31 and 22,266.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,177.31 : 22,266.56 = 22,266.56 : x
2. Step 2: Convert to fraction form
   10,177.31/22,266.56 = 22,266.56/x
3. Step 3: Cross multiply
   10,177.31x = 22,266.56 × 22,266.56
4. Step 4: Simplify right side
   10,177.31x = 495,799,805.57
5. Step 5: Solve for x
   x = 495,799,805.57/10,177.31
6. Step 6: Final answer
   x = 48,716.18