Finding the Third Proportional to 17,642.25 and 38,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,642.25 : 38,740.50 = 38,740.50 : x
2. Step 2: Convert to fraction form
   17,642.25/38,740.50 = 38,740.50/x
3. Step 3: Cross multiply
   17,642.25x = 38,740.50 × 38,740.50
4. Step 4: Simplify right side
   17,642.25x = 1,500,826,340.25
5. Step 5: Solve for x
   x = 1,500,826,340.25/17,642.25
6. Step 6: Final answer
   x = 85,070.01