Finding the Third Proportional to 10,085.50 and 14,105

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.50 : 14,105 = 14,105 : x
2. Step 2: Convert to fraction form
   10,085.50/14,105 = 14,105/x
3. Step 3: Cross multiply
   10,085.50x = 14,105 × 14,105
4. Step 4: Simplify right side
   10,085.50x = 198,951,025
5. Step 5: Solve for x
   x = 198,951,025/10,085.50
6. Step 6: Final answer
   x = 19,726.44