Finding the Third Proportional to 4,851.75 and 5,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,851.75 : 5,557.50 = 5,557.50 : x
2. Step 2: Convert to fraction form
   4,851.75/5,557.50 = 5,557.50/x
3. Step 3: Cross multiply
   4,851.75x = 5,557.50 × 5,557.50
4. Step 4: Simplify right side
   4,851.75x = 30,885,806.25
5. Step 5: Solve for x
   x = 30,885,806.25/4,851.75
6. Step 6: Final answer
   x = 6,365.91