Finding the Third Proportional to 16,506 and 23,517

Step by Step Solution

1. Step 1: Write the proportion equation
   16,506 : 23,517 = 23,517 : x
2. Step 2: Convert to fraction form
   16,506/23,517 = 23,517/x
3. Step 3: Cross multiply
   16,506x = 23,517 × 23,517
4. Step 4: Simplify right side
   16,506x = 553,049,289
5. Step 5: Solve for x
   x = 553,049,289/16,506
6. Step 6: Final answer
   x = 33,505.95