Finding the Third Proportional to 6,342 and 13,260

Step by Step Solution

1. Step 1: Write the proportion equation
   6,342 : 13,260 = 13,260 : x
2. Step 2: Convert to fraction form
   6,342/13,260 = 13,260/x
3. Step 3: Cross multiply
   6,342x = 13,260 × 13,260
4. Step 4: Simplify right side
   6,342x = 175,827,600
5. Step 5: Solve for x
   x = 175,827,600/6,342
6. Step 6: Final answer
   x = 27,724.31