Finding the Third Proportional to 1,471.92 and 2,221.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,471.92 : 2,221.17 = 2,221.17 : x
2. Step 2: Convert to fraction form
   1,471.92/2,221.17 = 2,221.17/x
3. Step 3: Cross multiply
   1,471.92x = 2,221.17 × 2,221.17
4. Step 4: Simplify right side
   1,471.92x = 4,933,604.50
5. Step 5: Solve for x
   x = 4,933,604.50/1,471.92
6. Step 6: Final answer
   x = 3,351.81