Finding the Third Proportional to 6,948 and 12,760

Step by Step Solution

1. Step 1: Write the proportion equation
   6,948 : 12,760 = 12,760 : x
2. Step 2: Convert to fraction form
   6,948/12,760 = 12,760/x
3. Step 3: Cross multiply
   6,948x = 12,760 × 12,760
4. Step 4: Simplify right side
   6,948x = 162,817,600
5. Step 5: Solve for x
   x = 162,817,600/6,948
6. Step 6: Final answer
   x = 23,433.74