Finding the Third Proportional to 10,081.13 and 13,686.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,081.13 : 13,686.75 = 13,686.75 : x
2. Step 2: Convert to fraction form
   10,081.13/13,686.75 = 13,686.75/x
3. Step 3: Cross multiply
   10,081.13x = 13,686.75 × 13,686.75
4. Step 4: Simplify right side
   10,081.13x = 187,327,125.56
5. Step 5: Solve for x
   x = 187,327,125.56/10,081.13
6. Step 6: Final answer
   x = 18,581.97