Finding the Third Proportional to 11,748 and 13,028

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748 : 13,028 = 13,028 : x
2. Step 2: Convert to fraction form
   11,748/13,028 = 13,028/x
3. Step 3: Cross multiply
   11,748x = 13,028 × 13,028
4. Step 4: Simplify right side
   11,748x = 169,728,784
5. Step 5: Solve for x
   x = 169,728,784/11,748
6. Step 6: Final answer
   x = 14,447.46