Finding the Third Proportional to 9,114.75 and 14,493.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,114.75 : 14,493.38 = 14,493.38 : x
2. Step 2: Convert to fraction form
   9,114.75/14,493.38 = 14,493.38/x
3. Step 3: Cross multiply
   9,114.75x = 14,493.38 × 14,493.38
4. Step 4: Simplify right side
   9,114.75x = 210,057,918.89
5. Step 5: Solve for x
   x = 210,057,918.89/9,114.75
6. Step 6: Final answer
   x = 23,045.93