Finding the Third Proportional to 17,685 and 24,032

Step by Step Solution

1. Step 1: Write the proportion equation
   17,685 : 24,032 = 24,032 : x
2. Step 2: Convert to fraction form
   17,685/24,032 = 24,032/x
3. Step 3: Cross multiply
   17,685x = 24,032 × 24,032
4. Step 4: Simplify right side
   17,685x = 577,537,024
5. Step 5: Solve for x
   x = 577,537,024/17,685
6. Step 6: Final answer
   x = 32,656.89