Finding the Third Proportional to 17,689.50 and 32,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,689.50 : 32,827.50 = 32,827.50 : x
2. Step 2: Convert to fraction form
   17,689.50/32,827.50 = 32,827.50/x
3. Step 3: Cross multiply
   17,689.50x = 32,827.50 × 32,827.50
4. Step 4: Simplify right side
   17,689.50x = 1,077,644,756.25
5. Step 5: Solve for x
   x = 1,077,644,756.25/17,689.50
6. Step 6: Final answer
   x = 60,920.02