Finding the Third Proportional to 2,154.73 and 4,771.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,154.73 : 4,771.41 = 4,771.41 : x
2. Step 2: Convert to fraction form
   2,154.73/4,771.41 = 4,771.41/x
3. Step 3: Cross multiply
   2,154.73x = 4,771.41 × 4,771.41
4. Step 4: Simplify right side
   2,154.73x = 22,766,317.60
5. Step 5: Solve for x
   x = 22,766,317.60/2,154.73
6. Step 6: Final answer
   x = 10,565.76