Finding the Third Proportional to 4,839.75 and 7,587.42

Step by Step Solution

1. Step 1: Write the proportion equation
   4,839.75 : 7,587.42 = 7,587.42 : x
2. Step 2: Convert to fraction form
   4,839.75/7,587.42 = 7,587.42/x
3. Step 3: Cross multiply
   4,839.75x = 7,587.42 × 7,587.42
4. Step 4: Simplify right side
   4,839.75x = 57,568,970.71
5. Step 5: Solve for x
   x = 57,568,970.71/4,839.75
6. Step 6: Final answer
   x = 11,895.03