Finding the Third Proportional to 17,874 and 25,650

Step by Step Solution

1. Step 1: Write the proportion equation
   17,874 : 25,650 = 25,650 : x
2. Step 2: Convert to fraction form
   17,874/25,650 = 25,650/x
3. Step 3: Cross multiply
   17,874x = 25,650 × 25,650
4. Step 4: Simplify right side
   17,874x = 657,922,500
5. Step 5: Solve for x
   x = 657,922,500/17,874
6. Step 6: Final answer
   x = 36,808.91