Finding the Third Proportional to 9,582 and 22,398

Step by Step Solution

1. Step 1: Write the proportion equation
   9,582 : 22,398 = 22,398 : x
2. Step 2: Convert to fraction form
   9,582/22,398 = 22,398/x
3. Step 3: Cross multiply
   9,582x = 22,398 × 22,398
4. Step 4: Simplify right side
   9,582x = 501,670,404
5. Step 5: Solve for x
   x = 501,670,404/9,582
6. Step 6: Final answer
   x = 52,355.50