Finding the Third Proportional to 21,657 and 32,398

Step by Step Solution

1. Step 1: Write the proportion equation
   21,657 : 32,398 = 32,398 : x
2. Step 2: Convert to fraction form
   21,657/32,398 = 32,398/x
3. Step 3: Cross multiply
   21,657x = 32,398 × 32,398
4. Step 4: Simplify right side
   21,657x = 1,049,630,404
5. Step 5: Solve for x
   x = 1,049,630,404/21,657
6. Step 6: Final answer
   x = 48,466.10