Finding the Third Proportional to 17,760.50 and 26,686

Step by Step Solution

1. Step 1: Write the proportion equation
   17,760.50 : 26,686 = 26,686 : x
2. Step 2: Convert to fraction form
   17,760.50/26,686 = 26,686/x
3. Step 3: Cross multiply
   17,760.50x = 26,686 × 26,686
4. Step 4: Simplify right side
   17,760.50x = 712,142,596
5. Step 5: Solve for x
   x = 712,142,596/17,760.50
6. Step 6: Final answer
   x = 40,096.99