Finding the Third Proportional to 982.50 and 2,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   982.50 : 2,311.50 = 2,311.50 : x
2. Step 2: Convert to fraction form
   982.50/2,311.50 = 2,311.50/x
3. Step 3: Cross multiply
   982.50x = 2,311.50 × 2,311.50
4. Step 4: Simplify right side
   982.50x = 5,343,032.25
5. Step 5: Solve for x
   x = 5,343,032.25/982.50
6. Step 6: Final answer
   x = 5,438.20