Finding the Third Proportional to 10,321 and 22,505

Step by Step Solution

1. Step 1: Write the proportion equation
   10,321 : 22,505 = 22,505 : x
2. Step 2: Convert to fraction form
   10,321/22,505 = 22,505/x
3. Step 3: Cross multiply
   10,321x = 22,505 × 22,505
4. Step 4: Simplify right side
   10,321x = 506,475,025
5. Step 5: Solve for x
   x = 506,475,025/10,321
6. Step 6: Final answer
   x = 49,072.28