Finding the Third Proportional to 6,414 and 13,146

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414 : 13,146 = 13,146 : x
2. Step 2: Convert to fraction form
   6,414/13,146 = 13,146/x
3. Step 3: Cross multiply
   6,414x = 13,146 × 13,146
4. Step 4: Simplify right side
   6,414x = 172,817,316
5. Step 5: Solve for x
   x = 172,817,316/6,414
6. Step 6: Final answer
   x = 26,943.77