Finding the Third Proportional to 3,925 and 5,739.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,925 : 5,739.50 = 5,739.50 : x
2. Step 2: Convert to fraction form
   3,925/5,739.50 = 5,739.50/x
3. Step 3: Cross multiply
   3,925x = 5,739.50 × 5,739.50
4. Step 4: Simplify right side
   3,925x = 32,941,860.25
5. Step 5: Solve for x
   x = 32,941,860.25/3,925
6. Step 6: Final answer
   x = 8,392.83