Finding the Third Proportional to 828.56 and 1,742.25

Step by Step Solution

1. Step 1: Write the proportion equation
   828.56 : 1,742.25 = 1,742.25 : x
2. Step 2: Convert to fraction form
   828.56/1,742.25 = 1,742.25/x
3. Step 3: Cross multiply
   828.56x = 1,742.25 × 1,742.25
4. Step 4: Simplify right side
   828.56x = 3,035,435.06
5. Step 5: Solve for x
   x = 3,035,435.06/828.56
6. Step 6: Final answer
   x = 3,663.50