Finding the Third Proportional to 9,406.13 and 13,233.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.13 : 13,233.38 = 13,233.38 : x
2. Step 2: Convert to fraction form
   9,406.13/13,233.38 = 13,233.38/x
3. Step 3: Cross multiply
   9,406.13x = 13,233.38 × 13,233.38
4. Step 4: Simplify right side
   9,406.13x = 175,122,213.89
5. Step 5: Solve for x
   x = 175,122,213.89/9,406.13
6. Step 6: Final answer
   x = 18,617.89