Finding the Third Proportional to 1,859.50 and 2,789.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,859.50 : 2,789.75 = 2,789.75 : x
2. Step 2: Convert to fraction form
   1,859.50/2,789.75 = 2,789.75/x
3. Step 3: Cross multiply
   1,859.50x = 2,789.75 × 2,789.75
4. Step 4: Simplify right side
   1,859.50x = 7,782,705.06
5. Step 5: Solve for x
   x = 7,782,705.06/1,859.50
6. Step 6: Final answer
   x = 4,185.38