Finding the Third Proportional to 3,222.28 and 4,695.47

Step by Step Solution

1. Step 1: Write the proportion equation
   3,222.28 : 4,695.47 = 4,695.47 : x
2. Step 2: Convert to fraction form
   3,222.28/4,695.47 = 4,695.47/x
3. Step 3: Cross multiply
   3,222.28x = 4,695.47 × 4,695.47
4. Step 4: Simplify right side
   3,222.28x = 22,047,426.78
5. Step 5: Solve for x
   x = 22,047,426.78/3,222.28
6. Step 6: Final answer
   x = 6,842.18