Finding the Third Proportional to 17,747.50 and 39,096

Step by Step Solution

1. Step 1: Write the proportion equation
   17,747.50 : 39,096 = 39,096 : x
2. Step 2: Convert to fraction form
   17,747.50/39,096 = 39,096/x
3. Step 3: Cross multiply
   17,747.50x = 39,096 × 39,096
4. Step 4: Simplify right side
   17,747.50x = 1,528,497,216
5. Step 5: Solve for x
   x = 1,528,497,216/17,747.50
6. Step 6: Final answer
   x = 86,124.65