Finding the Third Proportional to 982.41 and 1,507.78

Step by Step Solution

1. Step 1: Write the proportion equation
   982.41 : 1,507.78 = 1,507.78 : x
2. Step 2: Convert to fraction form
   982.41/1,507.78 = 1,507.78/x
3. Step 3: Cross multiply
   982.41x = 1,507.78 × 1,507.78
4. Step 4: Simplify right side
   982.41x = 2,273,404.30
5. Step 5: Solve for x
   x = 2,273,404.30/982.41
6. Step 6: Final answer
   x = 2,314.12