Finding the Third Proportional to 20,582 and 32,007

Step by Step Solution

1. Step 1: Write the proportion equation
   20,582 : 32,007 = 32,007 : x
2. Step 2: Convert to fraction form
   20,582/32,007 = 32,007/x
3. Step 3: Cross multiply
   20,582x = 32,007 × 32,007
4. Step 4: Simplify right side
   20,582x = 1,024,448,049
5. Step 5: Solve for x
   x = 1,024,448,049/20,582
6. Step 6: Final answer
   x = 49,773.98