Finding the Third Proportional to 823.75 and 1,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   823.75 : 1,799.50 = 1,799.50 : x
2. Step 2: Convert to fraction form
   823.75/1,799.50 = 1,799.50/x
3. Step 3: Cross multiply
   823.75x = 1,799.50 × 1,799.50
4. Step 4: Simplify right side
   823.75x = 3,238,200.25
5. Step 5: Solve for x
   x = 3,238,200.25/823.75
6. Step 6: Final answer
   x = 3,931.05