Finding the Third Proportional to 462.38 and 975.38

Step by Step Solution

1. Step 1: Write the proportion equation
   462.38 : 975.38 = 975.38 : x
2. Step 2: Convert to fraction form
   462.38/975.38 = 975.38/x
3. Step 3: Cross multiply
   462.38x = 975.38 × 975.38
4. Step 4: Simplify right side
   462.38x = 951,356.39
5. Step 5: Solve for x
   x = 951,356.39/462.38
6. Step 6: Final answer
   x = 2,057.54