Finding the Third Proportional to 820.50 and 1,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   820.50 : 1,768.50 = 1,768.50 : x
2. Step 2: Convert to fraction form
   820.50/1,768.50 = 1,768.50/x
3. Step 3: Cross multiply
   820.50x = 1,768.50 × 1,768.50
4. Step 4: Simplify right side
   820.50x = 3,127,592.25
5. Step 5: Solve for x
   x = 3,127,592.25/820.50
6. Step 6: Final answer
   x = 3,811.81