Finding the Third Proportional to 10,755 and 16,614

Step by Step Solution

1. Step 1: Write the proportion equation
   10,755 : 16,614 = 16,614 : x
2. Step 2: Convert to fraction form
   10,755/16,614 = 16,614/x
3. Step 3: Cross multiply
   10,755x = 16,614 × 16,614
4. Step 4: Simplify right side
   10,755x = 276,024,996
5. Step 5: Solve for x
   x = 276,024,996/10,755
6. Step 6: Final answer
   x = 25,664.81