Finding the Third Proportional to 789.50 and 1,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   789.50 : 1,733.50 = 1,733.50 : x
2. Step 2: Convert to fraction form
   789.50/1,733.50 = 1,733.50/x
3. Step 3: Cross multiply
   789.50x = 1,733.50 × 1,733.50
4. Step 4: Simplify right side
   789.50x = 3,005,022.25
5. Step 5: Solve for x
   x = 3,005,022.25/789.50
6. Step 6: Final answer
   x = 3,806.23