Finding the Third Proportional to 825.19 and 1,792.69

Step by Step Solution

1. Step 1: Write the proportion equation
   825.19 : 1,792.69 = 1,792.69 : x
2. Step 2: Convert to fraction form
   825.19/1,792.69 = 1,792.69/x
3. Step 3: Cross multiply
   825.19x = 1,792.69 × 1,792.69
4. Step 4: Simplify right side
   825.19x = 3,213,728.47
5. Step 5: Solve for x
   x = 3,213,728.47/825.19
6. Step 6: Final answer
   x = 3,894.54