Finding the Third Proportional to 3,920.75 and 5,880.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,920.75 : 5,880.56 = 5,880.56 : x
2. Step 2: Convert to fraction form
   3,920.75/5,880.56 = 5,880.56/x
3. Step 3: Cross multiply
   3,920.75x = 5,880.56 × 5,880.56
4. Step 4: Simplify right side
   3,920.75x = 34,581,015.32
5. Step 5: Solve for x
   x = 34,581,015.32/3,920.75
6. Step 6: Final answer
   x = 8,820.00