Finding the Third Proportional to 11,686.50 and 18,096.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,686.50 : 18,096.75 = 18,096.75 : x
2. Step 2: Convert to fraction form
   11,686.50/18,096.75 = 18,096.75/x
3. Step 3: Cross multiply
   11,686.50x = 18,096.75 × 18,096.75
4. Step 4: Simplify right side
   11,686.50x = 327,492,360.56
5. Step 5: Solve for x
   x = 327,492,360.56/11,686.50
6. Step 6: Final answer
   x = 28,023.13