Finding the Third Proportional to 6,142 and 13,265

Step by Step Solution

1. Step 1: Write the proportion equation
   6,142 : 13,265 = 13,265 : x
2. Step 2: Convert to fraction form
   6,142/13,265 = 13,265/x
3. Step 3: Cross multiply
   6,142x = 13,265 × 13,265
4. Step 4: Simplify right side
   6,142x = 175,960,225
5. Step 5: Solve for x
   x = 175,960,225/6,142
6. Step 6: Final answer
   x = 28,648.69