Finding the Third Proportional to 2,544 and 3,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,544 : 3,847.50 = 3,847.50 : x
2. Step 2: Convert to fraction form
   2,544/3,847.50 = 3,847.50/x
3. Step 3: Cross multiply
   2,544x = 3,847.50 × 3,847.50
4. Step 4: Simplify right side
   2,544x = 14,803,256.25
5. Step 5: Solve for x
   x = 14,803,256.25/2,544
6. Step 6: Final answer
   x = 5,818.89