Finding the Third Proportional to 3,778.31 and 5,870.19

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.31 : 5,870.19 = 5,870.19 : x
2. Step 2: Convert to fraction form
   3,778.31/5,870.19 = 5,870.19/x
3. Step 3: Cross multiply
   3,778.31x = 5,870.19 × 5,870.19
4. Step 4: Simplify right side
   3,778.31x = 34,459,101.29
5. Step 5: Solve for x
   x = 34,459,101.29/3,778.31
6. Step 6: Final answer
   x = 9,120.24