Finding the Third Proportional to 4,993.88 and 7,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,993.88 : 7,114.50 = 7,114.50 : x
2. Step 2: Convert to fraction form
   4,993.88/7,114.50 = 7,114.50/x
3. Step 3: Cross multiply
   4,993.88x = 7,114.50 × 7,114.50
4. Step 4: Simplify right side
   4,993.88x = 50,616,110.25
5. Step 5: Solve for x
   x = 50,616,110.25/4,993.88
6. Step 6: Final answer
   x = 10,135.64