Finding the Third Proportional to 1,793.81 and 3,862.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,793.81 : 3,862.27 = 3,862.27 : x
2. Step 2: Convert to fraction form
   1,793.81/3,862.27 = 3,862.27/x
3. Step 3: Cross multiply
   1,793.81x = 3,862.27 × 3,862.27
4. Step 4: Simplify right side
   1,793.81x = 14,917,095.76
5. Step 5: Solve for x
   x = 14,917,095.76/1,793.81
6. Step 6: Final answer
   x = 8,315.86