Finding the Third Proportional to 1,785.38 and 2,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,785.38 : 2,779.50 = 2,779.50 : x
2. Step 2: Convert to fraction form
   1,785.38/2,779.50 = 2,779.50/x
3. Step 3: Cross multiply
   1,785.38x = 2,779.50 × 2,779.50
4. Step 4: Simplify right side
   1,785.38x = 7,725,620.25
5. Step 5: Solve for x
   x = 7,725,620.25/1,785.38
6. Step 6: Final answer
   x = 4,327.17