Finding the Third Proportional to 6,255 and 13,665

Step by Step Solution

1. Step 1: Write the proportion equation
   6,255 : 13,665 = 13,665 : x
2. Step 2: Convert to fraction form
   6,255/13,665 = 13,665/x
3. Step 3: Cross multiply
   6,255x = 13,665 × 13,665
4. Step 4: Simplify right side
   6,255x = 186,732,225
5. Step 5: Solve for x
   x = 186,732,225/6,255
6. Step 6: Final answer
   x = 29,853.27