Finding the Third Proportional to 2,875.50 and 4,544.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,875.50 : 4,544.86 = 4,544.86 : x
2. Step 2: Convert to fraction form
   2,875.50/4,544.86 = 4,544.86/x
3. Step 3: Cross multiply
   2,875.50x = 4,544.86 × 4,544.86
4. Step 4: Simplify right side
   2,875.50x = 20,655,746.74
5. Step 5: Solve for x
   x = 20,655,746.74/2,875.50
6. Step 6: Final answer
   x = 7,183.36