Finding the Third Proportional to 10,522.50 and 22,685

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522.50 : 22,685 = 22,685 : x
2. Step 2: Convert to fraction form
   10,522.50/22,685 = 22,685/x
3. Step 3: Cross multiply
   10,522.50x = 22,685 × 22,685
4. Step 4: Simplify right side
   10,522.50x = 514,609,225
5. Step 5: Solve for x
   x = 514,609,225/10,522.50
6. Step 6: Final answer
   x = 48,905.60