Finding the Third Proportional to 4,537.69 and 5,908.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,537.69 : 5,908.78 = 5,908.78 : x
2. Step 2: Convert to fraction form
   4,537.69/5,908.78 = 5,908.78/x
3. Step 3: Cross multiply
   4,537.69x = 5,908.78 × 5,908.78
4. Step 4: Simplify right side
   4,537.69x = 34,913,695.86
5. Step 5: Solve for x
   x = 34,913,695.86/4,537.69
6. Step 6: Final answer
   x = 7,694.16