Finding the Third Proportional to 17,874 and 39,150

Step by Step Solution

1. Step 1: Write the proportion equation
   17,874 : 39,150 = 39,150 : x
2. Step 2: Convert to fraction form
   17,874/39,150 = 39,150/x
3. Step 3: Cross multiply
   17,874x = 39,150 × 39,150
4. Step 4: Simplify right side
   17,874x = 1,532,722,500
5. Step 5: Solve for x
   x = 1,532,722,500/17,874
6. Step 6: Final answer
   x = 85,751.51