Finding the Third Proportional to 825.25 and 1,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   825.25 : 1,802.50 = 1,802.50 : x
2. Step 2: Convert to fraction form
   825.25/1,802.50 = 1,802.50/x
3. Step 3: Cross multiply
   825.25x = 1,802.50 × 1,802.50
4. Step 4: Simplify right side
   825.25x = 3,249,006.25
5. Step 5: Solve for x
   x = 3,249,006.25/825.25
6. Step 6: Final answer
   x = 3,937.00