Finding the Third Proportional to 11,574 and 12,762

Step by Step Solution

1. Step 1: Write the proportion equation
   11,574 : 12,762 = 12,762 : x
2. Step 2: Convert to fraction form
   11,574/12,762 = 12,762/x
3. Step 3: Cross multiply
   11,574x = 12,762 × 12,762
4. Step 4: Simplify right side
   11,574x = 162,868,644
5. Step 5: Solve for x
   x = 162,868,644/11,574
6. Step 6: Final answer
   x = 14,071.94