Finding the Third Proportional to 10,602.50 and 22,845

Step by Step Solution

1. Step 1: Write the proportion equation
   10,602.50 : 22,845 = 22,845 : x
2. Step 2: Convert to fraction form
   10,602.50/22,845 = 22,845/x
3. Step 3: Cross multiply
   10,602.50x = 22,845 × 22,845
4. Step 4: Simplify right side
   10,602.50x = 521,894,025
5. Step 5: Solve for x
   x = 521,894,025/10,602.50
6. Step 6: Final answer
   x = 49,223.68