Finding the Third Proportional to 6,074 and 12,758

Step by Step Solution

1. Step 1: Write the proportion equation
   6,074 : 12,758 = 12,758 : x
2. Step 2: Convert to fraction form
   6,074/12,758 = 12,758/x
3. Step 3: Cross multiply
   6,074x = 12,758 × 12,758
4. Step 4: Simplify right side
   6,074x = 162,766,564
5. Step 5: Solve for x
   x = 162,766,564/6,074
6. Step 6: Final answer
   x = 26,797.26