Finding the Third Proportional to 1,785.38 and 3,877.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,785.38 : 3,877.88 = 3,877.88 : x
2. Step 2: Convert to fraction form
   1,785.38/3,877.88 = 3,877.88/x
3. Step 3: Cross multiply
   1,785.38x = 3,877.88 × 3,877.88
4. Step 4: Simplify right side
   1,785.38x = 15,037,914.52
5. Step 5: Solve for x
   x = 15,037,914.52/1,785.38
6. Step 6: Final answer
   x = 8,422.83