Finding the Third Proportional to 6,458 and 14,146

Step by Step Solution

1. Step 1: Write the proportion equation
   6,458 : 14,146 = 14,146 : x
2. Step 2: Convert to fraction form
   6,458/14,146 = 14,146/x
3. Step 3: Cross multiply
   6,458x = 14,146 × 14,146
4. Step 4: Simplify right side
   6,458x = 200,109,316
5. Step 5: Solve for x
   x = 200,109,316/6,458
6. Step 6: Final answer
   x = 30,986.27