Finding the Third Proportional to 984 and 2,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   984 : 2,036.50 = 2,036.50 : x
2. Step 2: Convert to fraction form
   984/2,036.50 = 2,036.50/x
3. Step 3: Cross multiply
   984x = 2,036.50 × 2,036.50
4. Step 4: Simplify right side
   984x = 4,147,332.25
5. Step 5: Solve for x
   x = 4,147,332.25/984
6. Step 6: Final answer
   x = 4,214.77