Finding the Third Proportional to 11,038.50 and 13,866.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,038.50 : 13,866.75 = 13,866.75 : x
2. Step 2: Convert to fraction form
   11,038.50/13,866.75 = 13,866.75/x
3. Step 3: Cross multiply
   11,038.50x = 13,866.75 × 13,866.75
4. Step 4: Simplify right side
   11,038.50x = 192,286,755.56
5. Step 5: Solve for x
   x = 192,286,755.56/11,038.50
6. Step 6: Final answer
   x = 17,419.65