Finding the Third Proportional to 10,339.50 and 22,645

Step by Step Solution

1. Step 1: Write the proportion equation
   10,339.50 : 22,645 = 22,645 : x
2. Step 2: Convert to fraction form
   10,339.50/22,645 = 22,645/x
3. Step 3: Cross multiply
   10,339.50x = 22,645 × 22,645
4. Step 4: Simplify right side
   10,339.50x = 512,796,025
5. Step 5: Solve for x
   x = 512,796,025/10,339.50
6. Step 6: Final answer
   x = 49,595.82