Finding the Third Proportional to 7,849.50 and 14,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,849.50 : 14,119.50 = 14,119.50 : x
2. Step 2: Convert to fraction form
   7,849.50/14,119.50 = 14,119.50/x
3. Step 3: Cross multiply
   7,849.50x = 14,119.50 × 14,119.50
4. Step 4: Simplify right side
   7,849.50x = 199,360,280.25
5. Step 5: Solve for x
   x = 199,360,280.25/7,849.50
6. Step 6: Final answer
   x = 25,397.83