Finding the Third Proportional to 825.50 and 1,705

Step by Step Solution

1. Step 1: Write the proportion equation
   825.50 : 1,705 = 1,705 : x
2. Step 2: Convert to fraction form
   825.50/1,705 = 1,705/x
3. Step 3: Cross multiply
   825.50x = 1,705 × 1,705
4. Step 4: Simplify right side
   825.50x = 2,907,025
5. Step 5: Solve for x
   x = 2,907,025/825.50
6. Step 6: Final answer
   x = 3,521.53