Finding the Third Proportional to 6,101 and 13,142

Step by Step Solution

1. Step 1: Write the proportion equation
   6,101 : 13,142 = 13,142 : x
2. Step 2: Convert to fraction form
   6,101/13,142 = 13,142/x
3. Step 3: Cross multiply
   6,101x = 13,142 × 13,142
4. Step 4: Simplify right side
   6,101x = 172,712,164
5. Step 5: Solve for x
   x = 172,712,164/6,101
6. Step 6: Final answer
   x = 28,308.83