Finding the Third Proportional to 996 and 1,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   996 : 1,422.50 = 1,422.50 : x
2. Step 2: Convert to fraction form
   996/1,422.50 = 1,422.50/x
3. Step 3: Cross multiply
   996x = 1,422.50 × 1,422.50
4. Step 4: Simplify right side
   996x = 2,023,506.25
5. Step 5: Solve for x
   x = 2,023,506.25/996
6. Step 6: Final answer
   x = 2,031.63