Finding the Third Proportional to 4,225.50 and 5,781.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,225.50 : 5,781.38 = 5,781.38 : x
2. Step 2: Convert to fraction form
   4,225.50/5,781.38 = 5,781.38/x
3. Step 3: Cross multiply
   4,225.50x = 5,781.38 × 5,781.38
4. Step 4: Simplify right side
   4,225.50x = 33,424,296.89
5. Step 5: Solve for x
   x = 33,424,296.89/4,225.50
6. Step 6: Final answer
   x = 7,910.14