Finding the Third Proportional to 826 and 1,733.06

Step by Step Solution

1. Step 1: Write the proportion equation
   826 : 1,733.06 = 1,733.06 : x
2. Step 2: Convert to fraction form
   826/1,733.06 = 1,733.06/x
3. Step 3: Cross multiply
   826x = 1,733.06 × 1,733.06
4. Step 4: Simplify right side
   826x = 3,003,505.63
5. Step 5: Solve for x
   x = 3,003,505.63/826
6. Step 6: Final answer
   x = 3,636.21