Finding the Third Proportional to 627.38 and 972.38

Step by Step Solution

1. Step 1: Write the proportion equation
   627.38 : 972.38 = 972.38 : x
2. Step 2: Convert to fraction form
   627.38/972.38 = 972.38/x
3. Step 3: Cross multiply
   627.38x = 972.38 × 972.38
4. Step 4: Simplify right side
   627.38x = 945,513.14
5. Step 5: Solve for x
   x = 945,513.14/627.38
6. Step 6: Final answer
   x = 1,507.09