Finding the Third Proportional to 1,818.14 and 3,712.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,818.14 : 3,712.78 = 3,712.78 : x
2. Step 2: Convert to fraction form
   1,818.14/3,712.78 = 3,712.78/x
3. Step 3: Cross multiply
   1,818.14x = 3,712.78 × 3,712.78
4. Step 4: Simplify right side
   1,818.14x = 13,784,744.61
5. Step 5: Solve for x
   x = 13,784,744.61/1,818.14
6. Step 6: Final answer
   x = 7,581.78