Finding the Third Proportional to 982.38 and 2,150.38

Step by Step Solution

1. Step 1: Write the proportion equation
   982.38 : 2,150.38 = 2,150.38 : x
2. Step 2: Convert to fraction form
   982.38/2,150.38 = 2,150.38/x
3. Step 3: Cross multiply
   982.38x = 2,150.38 × 2,150.38
4. Step 4: Simplify right side
   982.38x = 4,624,112.64
5. Step 5: Solve for x
   x = 4,624,112.64/982.38
6. Step 6: Final answer
   x = 4,707.07