Finding the Third Proportional to 828.56 and 1,733.06

Step by Step Solution

1. Step 1: Write the proportion equation
   828.56 : 1,733.06 = 1,733.06 : x
2. Step 2: Convert to fraction form
   828.56/1,733.06 = 1,733.06/x
3. Step 3: Cross multiply
   828.56x = 1,733.06 × 1,733.06
4. Step 4: Simplify right side
   828.56x = 3,003,505.63
5. Step 5: Solve for x
   x = 3,003,505.63/828.56
6. Step 6: Final answer
   x = 3,624.96