Finding the Third Proportional to 10,165.50 and 13,380.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.50 : 13,380.19 = 13,380.19 : x
2. Step 2: Convert to fraction form
   10,165.50/13,380.19 = 13,380.19/x
3. Step 3: Cross multiply
   10,165.50x = 13,380.19 × 13,380.19
4. Step 4: Simplify right side
   10,165.50x = 179,029,417.54
5. Step 5: Solve for x
   x = 179,029,417.54/10,165.50
6. Step 6: Final answer
   x = 17,611.47