Finding the Third Proportional to 645.47 and 816.33

Step by Step Solution

1. Step 1: Write the proportion equation
   645.47 : 816.33 = 816.33 : x
2. Step 2: Convert to fraction form
   645.47/816.33 = 816.33/x
3. Step 3: Cross multiply
   645.47x = 816.33 × 816.33
4. Step 4: Simplify right side
   645.47x = 666,391.61
5. Step 5: Solve for x
   x = 666,391.61/645.47
6. Step 6: Final answer
   x = 1,032.41