Finding the Third Proportional to 1,922.17 and 2,964.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,922.17 : 2,964.41 = 2,964.41 : x
2. Step 2: Convert to fraction form
   1,922.17/2,964.41 = 2,964.41/x
3. Step 3: Cross multiply
   1,922.17x = 2,964.41 × 2,964.41
4. Step 4: Simplify right side
   1,922.17x = 8,787,727.57
5. Step 5: Solve for x
   x = 8,787,727.57/1,922.17
6. Step 6: Final answer
   x = 4,571.78