Finding the Third Proportional to 10,141.50 and 20,523

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.50 : 20,523 = 20,523 : x
2. Step 2: Convert to fraction form
   10,141.50/20,523 = 20,523/x
3. Step 3: Cross multiply
   10,141.50x = 20,523 × 20,523
4. Step 4: Simplify right side
   10,141.50x = 421,193,529
5. Step 5: Solve for x
   x = 421,193,529/10,141.50
6. Step 6: Final answer
   x = 41,531.68