Finding the Third Proportional to 9,096.89 and 13,589.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.89 : 13,589.16 = 13,589.16 : x
2. Step 2: Convert to fraction form
   9,096.89/13,589.16 = 13,589.16/x
3. Step 3: Cross multiply
   9,096.89x = 13,589.16 × 13,589.16
4. Step 4: Simplify right side
   9,096.89x = 184,665,167.59
5. Step 5: Solve for x
   x = 184,665,167.59/9,096.89
6. Step 6: Final answer
   x = 20,299.81