Finding the Third Proportional to 871.38 and 1,906.15

Step by Step Solution

1. Step 1: Write the proportion equation
   871.38 : 1,906.15 = 1,906.15 : x
2. Step 2: Convert to fraction form
   871.38/1,906.15 = 1,906.15/x
3. Step 3: Cross multiply
   871.38x = 1,906.15 × 1,906.15
4. Step 4: Simplify right side
   871.38x = 3,633,407.45
5. Step 5: Solve for x
   x = 3,633,407.45/871.38
6. Step 6: Final answer
   x = 4,169.70