Finding the Third Proportional to 9,128.25 and 14,696.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,128.25 : 14,696.38 = 14,696.38 : x
2. Step 2: Convert to fraction form
   9,128.25/14,696.38 = 14,696.38/x
3. Step 3: Cross multiply
   9,128.25x = 14,696.38 × 14,696.38
4. Step 4: Simplify right side
   9,128.25x = 215,983,438.14
5. Step 5: Solve for x
   x = 215,983,438.14/9,128.25
6. Step 6: Final answer
   x = 23,660.99