Finding the Third Proportional to 1,836.19 and 3,861.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,836.19 : 3,861.38 = 3,861.38 : x
2. Step 2: Convert to fraction form
   1,836.19/3,861.38 = 3,861.38/x
3. Step 3: Cross multiply
   1,836.19x = 3,861.38 × 3,861.38
4. Step 4: Simplify right side
   1,836.19x = 14,910,216.89
5. Step 5: Solve for x
   x = 14,910,216.89/1,836.19
6. Step 6: Final answer
   x = 8,120.20