Finding the Third Proportional to 1,827.56 and 3,862.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,827.56 : 3,862.69 = 3,862.69 : x
2. Step 2: Convert to fraction form
   1,827.56/3,862.69 = 3,862.69/x
3. Step 3: Cross multiply
   1,827.56x = 3,862.69 × 3,862.69
4. Step 4: Simplify right side
   1,827.56x = 14,920,354.72
5. Step 5: Solve for x
   x = 14,920,354.72/1,827.56
6. Step 6: Final answer
   x = 8,164.07