Finding the Third Proportional to 410.91 and 829.83

Step by Step Solution

1. Step 1: Write the proportion equation
   410.91 : 829.83 = 829.83 : x
2. Step 2: Convert to fraction form
   410.91/829.83 = 829.83/x
3. Step 3: Cross multiply
   410.91x = 829.83 × 829.83
4. Step 4: Simplify right side
   410.91x = 688,614.72
5. Step 5: Solve for x
   x = 688,614.72/410.91
6. Step 6: Final answer
   x = 1,675.84