Finding the Third Proportional to 825.25 and 1,803.94

Step by Step Solution

1. Step 1: Write the proportion equation
   825.25 : 1,803.94 = 1,803.94 : x
2. Step 2: Convert to fraction form
   825.25/1,803.94 = 1,803.94/x
3. Step 3: Cross multiply
   825.25x = 1,803.94 × 1,803.94
4. Step 4: Simplify right side
   825.25x = 3,254,190.50
5. Step 5: Solve for x
   x = 3,254,190.50/825.25
6. Step 6: Final answer
   x = 3,943.28