Finding the Third Proportional to 381.25 and 820.25

Step by Step Solution

1. Step 1: Write the proportion equation
   381.25 : 820.25 = 820.25 : x
2. Step 2: Convert to fraction form
   381.25/820.25 = 820.25/x
3. Step 3: Cross multiply
   381.25x = 820.25 × 820.25
4. Step 4: Simplify right side
   381.25x = 672,810.06
5. Step 5: Solve for x
   x = 672,810.06/381.25
6. Step 6: Final answer
   x = 1,764.75