Finding the Third Proportional to 2,889.84 and 4,355.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,889.84 : 4,355.86 = 4,355.86 : x
2. Step 2: Convert to fraction form
   2,889.84/4,355.86 = 4,355.86/x
3. Step 3: Cross multiply
   2,889.84x = 4,355.86 × 4,355.86
4. Step 4: Simplify right side
   2,889.84x = 18,973,510.89
5. Step 5: Solve for x
   x = 18,973,510.89/2,889.84
6. Step 6: Final answer
   x = 6,565.58