Finding the Third Proportional to 1,818.70 and 3,836.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,818.70 : 3,836.74 = 3,836.74 : x
2. Step 2: Convert to fraction form
   1,818.70/3,836.74 = 3,836.74/x
3. Step 3: Cross multiply
   1,818.70x = 3,836.74 × 3,836.74
4. Step 4: Simplify right side
   1,818.70x = 14,720,590.61
5. Step 5: Solve for x
   x = 14,720,590.61/1,818.70
6. Step 6: Final answer
   x = 8,094.00