Finding the Third Proportional to 16,465 and 25,534

Step by Step Solution

1. Step 1: Write the proportion equation
   16,465 : 25,534 = 25,534 : x
2. Step 2: Convert to fraction form
   16,465/25,534 = 25,534/x
3. Step 3: Cross multiply
   16,465x = 25,534 × 25,534
4. Step 4: Simplify right side
   16,465x = 651,985,156
5. Step 5: Solve for x
   x = 651,985,156/16,465
6. Step 6: Final answer
   x = 39,598.25