Finding the Third Proportional to 824.25 and 1,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   824.25 : 1,801.50 = 1,801.50 : x
2. Step 2: Convert to fraction form
   824.25/1,801.50 = 1,801.50/x
3. Step 3: Cross multiply
   824.25x = 1,801.50 × 1,801.50
4. Step 4: Simplify right side
   824.25x = 3,245,402.25
5. Step 5: Solve for x
   x = 3,245,402.25/824.25
6. Step 6: Final answer
   x = 3,937.40