Finding the Third Proportional to 972.38 and 1,494.56

Step by Step Solution

1. Step 1: Write the proportion equation
   972.38 : 1,494.56 = 1,494.56 : x
2. Step 2: Convert to fraction form
   972.38/1,494.56 = 1,494.56/x
3. Step 3: Cross multiply
   972.38x = 1,494.56 × 1,494.56
4. Step 4: Simplify right side
   972.38x = 2,233,717.07
5. Step 5: Solve for x
   x = 2,233,717.07/972.38
6. Step 6: Final answer
   x = 2,297.18