Finding the Third Proportional to 6,416 and 13,150

Step by Step Solution

1. Step 1: Write the proportion equation
   6,416 : 13,150 = 13,150 : x
2. Step 2: Convert to fraction form
   6,416/13,150 = 13,150/x
3. Step 3: Cross multiply
   6,416x = 13,150 × 13,150
4. Step 4: Simplify right side
   6,416x = 172,922,500
5. Step 5: Solve for x
   x = 172,922,500/6,416
6. Step 6: Final answer
   x = 26,951.76