Finding the Third Proportional to 3,830.20 and 5,918.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,830.20 : 5,918.06 = 5,918.06 : x
2. Step 2: Convert to fraction form
   3,830.20/5,918.06 = 5,918.06/x
3. Step 3: Cross multiply
   3,830.20x = 5,918.06 × 5,918.06
4. Step 4: Simplify right side
   3,830.20x = 35,023,463.75
5. Step 5: Solve for x
   x = 35,023,463.75/3,830.20
6. Step 6: Final answer
   x = 9,144.02