Finding the Third Proportional to 984.50 and 2,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   984.50 : 2,142.50 = 2,142.50 : x
2. Step 2: Convert to fraction form
   984.50/2,142.50 = 2,142.50/x
3. Step 3: Cross multiply
   984.50x = 2,142.50 × 2,142.50
4. Step 4: Simplify right side
   984.50x = 4,590,306.25
5. Step 5: Solve for x
   x = 4,590,306.25/984.50
6. Step 6: Final answer
   x = 4,662.58