Finding the Third Proportional to 17,938.50 and 39,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,938.50 : 39,205.50 = 39,205.50 : x
2. Step 2: Convert to fraction form
   17,938.50/39,205.50 = 39,205.50/x
3. Step 3: Cross multiply
   17,938.50x = 39,205.50 × 39,205.50
4. Step 4: Simplify right side
   17,938.50x = 1,537,071,230.25
5. Step 5: Solve for x
   x = 1,537,071,230.25/17,938.50
6. Step 6: Final answer
   x = 85,685.61