Finding the Third Proportional to 6,614 and 10,633

Step by Step Solution

1. Step 1: Write the proportion equation
   6,614 : 10,633 = 10,633 : x
2. Step 2: Convert to fraction form
   6,614/10,633 = 10,633/x
3. Step 3: Cross multiply
   6,614x = 10,633 × 10,633
4. Step 4: Simplify right side
   6,614x = 113,060,689
5. Step 5: Solve for x
   x = 113,060,689/6,614
6. Step 6: Final answer
   x = 17,094.15