Finding the Third Proportional to 1,843.50 and 3,876

Step by Step Solution

1. Step 1: Write the proportion equation
   1,843.50 : 3,876 = 3,876 : x
2. Step 2: Convert to fraction form
   1,843.50/3,876 = 3,876/x
3. Step 3: Cross multiply
   1,843.50x = 3,876 × 3,876
4. Step 4: Simplify right side
   1,843.50x = 15,023,376
5. Step 5: Solve for x
   x = 15,023,376/1,843.50
6. Step 6: Final answer
   x = 8,149.38