Finding the Third Proportional to 10,057.50 and 22,123.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.50 : 22,123.13 = 22,123.13 : x
2. Step 2: Convert to fraction form
   10,057.50/22,123.13 = 22,123.13/x
3. Step 3: Cross multiply
   10,057.50x = 22,123.13 × 22,123.13
4. Step 4: Simplify right side
   10,057.50x = 489,432,659.77
5. Step 5: Solve for x
   x = 489,432,659.77/10,057.50
6. Step 6: Final answer
   x = 48,663.45