Finding the Third Proportional to 800.50 and 1,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   800.50 : 1,749.50 = 1,749.50 : x
2. Step 2: Convert to fraction form
   800.50/1,749.50 = 1,749.50/x
3. Step 3: Cross multiply
   800.50x = 1,749.50 × 1,749.50
4. Step 4: Simplify right side
   800.50x = 3,060,750.25
5. Step 5: Solve for x
   x = 3,060,750.25/800.50
6. Step 6: Final answer
   x = 3,823.55