Finding the Third Proportional to 4,375.69 and 5,895.28

Step by Step Solution

1. Step 1: Write the proportion equation
   4,375.69 : 5,895.28 = 5,895.28 : x
2. Step 2: Convert to fraction form
   4,375.69/5,895.28 = 5,895.28/x
3. Step 3: Cross multiply
   4,375.69x = 5,895.28 × 5,895.28
4. Step 4: Simplify right side
   4,375.69x = 34,754,341.02
5. Step 5: Solve for x
   x = 34,754,341.02/4,375.69
6. Step 6: Final answer
   x = 7,942.60