Finding the Third Proportional to 6,225 and 13,614

Step by Step Solution

1. Step 1: Write the proportion equation
   6,225 : 13,614 = 13,614 : x
2. Step 2: Convert to fraction form
   6,225/13,614 = 13,614/x
3. Step 3: Cross multiply
   6,225x = 13,614 × 13,614
4. Step 4: Simplify right side
   6,225x = 185,340,996
5. Step 5: Solve for x
   x = 185,340,996/6,225
6. Step 6: Final answer
   x = 29,773.65