Finding the Third Proportional to 2,116.50 and 2,433.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116.50 : 2,433.75 = 2,433.75 : x
2. Step 2: Convert to fraction form
   2,116.50/2,433.75 = 2,433.75/x
3. Step 3: Cross multiply
   2,116.50x = 2,433.75 × 2,433.75
4. Step 4: Simplify right side
   2,116.50x = 5,923,139.06
5. Step 5: Solve for x
   x = 5,923,139.06/2,116.50
6. Step 6: Final answer
   x = 2,798.55