Finding the Third Proportional to 2,976 and 5,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,976 : 5,695.50 = 5,695.50 : x
2. Step 2: Convert to fraction form
   2,976/5,695.50 = 5,695.50/x
3. Step 3: Cross multiply
   2,976x = 5,695.50 × 5,695.50
4. Step 4: Simplify right side
   2,976x = 32,438,720.25
5. Step 5: Solve for x
   x = 32,438,720.25/2,976
6. Step 6: Final answer
   x = 10,900.11