Finding the Third Proportional to 822.50 and 1,738

Step by Step Solution

1. Step 1: Write the proportion equation
   822.50 : 1,738 = 1,738 : x
2. Step 2: Convert to fraction form
   822.50/1,738 = 1,738/x
3. Step 3: Cross multiply
   822.50x = 1,738 × 1,738
4. Step 4: Simplify right side
   822.50x = 3,020,644
5. Step 5: Solve for x
   x = 3,020,644/822.50
6. Step 6: Final answer
   x = 3,672.52