Finding the Third Proportional to 4,342.78 and 5,864.91

Step by Step Solution

1. Step 1: Write the proportion equation
   4,342.78 : 5,864.91 = 5,864.91 : x
2. Step 2: Convert to fraction form
   4,342.78/5,864.91 = 5,864.91/x
3. Step 3: Cross multiply
   4,342.78x = 5,864.91 × 5,864.91
4. Step 4: Simplify right side
   4,342.78x = 34,397,125.32
5. Step 5: Solve for x
   x = 34,397,125.32/4,342.78
6. Step 6: Final answer
   x = 7,920.53