Finding the Third Proportional to 643.57 and 934.03

Step by Step Solution

1. Step 1: Write the proportion equation
   643.57 : 934.03 = 934.03 : x
2. Step 2: Convert to fraction form
   643.57/934.03 = 934.03/x
3. Step 3: Cross multiply
   643.57x = 934.03 × 934.03
4. Step 4: Simplify right side
   643.57x = 872,414.38
5. Step 5: Solve for x
   x = 872,414.38/643.57
6. Step 6: Final answer
   x = 1,355.59