Finding the Third Proportional to 17,874 and 38,772

Step by Step Solution

1. Step 1: Write the proportion equation
   17,874 : 38,772 = 38,772 : x
2. Step 2: Convert to fraction form
   17,874/38,772 = 38,772/x
3. Step 3: Cross multiply
   17,874x = 38,772 × 38,772
4. Step 4: Simplify right side
   17,874x = 1,503,267,984
5. Step 5: Solve for x
   x = 1,503,267,984/17,874
6. Step 6: Final answer
   x = 84,103.61