Finding the Third Proportional to 3,349.50 and 5,105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,349.50 : 5,105.25 = 5,105.25 : x
2. Step 2: Convert to fraction form
   3,349.50/5,105.25 = 5,105.25/x
3. Step 3: Cross multiply
   3,349.50x = 5,105.25 × 5,105.25
4. Step 4: Simplify right side
   3,349.50x = 26,063,577.56
5. Step 5: Solve for x
   x = 26,063,577.56/3,349.50
6. Step 6: Final answer
   x = 7,781.33