Finding the Third Proportional to 6,114 and 10,659

Step by Step Solution

1. Step 1: Write the proportion equation
   6,114 : 10,659 = 10,659 : x
2. Step 2: Convert to fraction form
   6,114/10,659 = 10,659/x
3. Step 3: Cross multiply
   6,114x = 10,659 × 10,659
4. Step 4: Simplify right side
   6,114x = 113,614,281
5. Step 5: Solve for x
   x = 113,614,281/6,114
6. Step 6: Final answer
   x = 18,582.64