Finding the Third Proportional to 10,748 and 14,026

Step by Step Solution

1. Step 1: Write the proportion equation
   10,748 : 14,026 = 14,026 : x
2. Step 2: Convert to fraction form
   10,748/14,026 = 14,026/x
3. Step 3: Cross multiply
   10,748x = 14,026 × 14,026
4. Step 4: Simplify right side
   10,748x = 196,728,676
5. Step 5: Solve for x
   x = 196,728,676/10,748
6. Step 6: Final answer
   x = 18,303.75