Finding the Third Proportional to 17,689 and 24,038

Step by Step Solution

1. Step 1: Write the proportion equation
   17,689 : 24,038 = 24,038 : x
2. Step 2: Convert to fraction form
   17,689/24,038 = 24,038/x
3. Step 3: Cross multiply
   17,689x = 24,038 × 24,038
4. Step 4: Simplify right side
   17,689x = 577,825,444
5. Step 5: Solve for x
   x = 577,825,444/17,689
6. Step 6: Final answer
   x = 32,665.81