Finding the Third Proportional to 11,814 and 13,038

Step by Step Solution

1. Step 1: Write the proportion equation
   11,814 : 13,038 = 13,038 : x
2. Step 2: Convert to fraction form
   11,814/13,038 = 13,038/x
3. Step 3: Cross multiply
   11,814x = 13,038 × 13,038
4. Step 4: Simplify right side
   11,814x = 169,989,444
5. Step 5: Solve for x
   x = 169,989,444/11,814
6. Step 6: Final answer
   x = 14,388.81