Finding the Third Proportional to 10,294.50 and 22,471.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294.50 : 22,471.25 = 22,471.25 : x
2. Step 2: Convert to fraction form
   10,294.50/22,471.25 = 22,471.25/x
3. Step 3: Cross multiply
   10,294.50x = 22,471.25 × 22,471.25
4. Step 4: Simplify right side
   10,294.50x = 504,957,076.56
5. Step 5: Solve for x
   x = 504,957,076.56/10,294.50
6. Step 6: Final answer
   x = 49,051.15