Finding the Third Proportional to 1,469 and 2,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,469 : 2,196.50 = 2,196.50 : x
2. Step 2: Convert to fraction form
   1,469/2,196.50 = 2,196.50/x
3. Step 3: Cross multiply
   1,469x = 2,196.50 × 2,196.50
4. Step 4: Simplify right side
   1,469x = 4,824,612.25
5. Step 5: Solve for x
   x = 4,824,612.25/1,469
6. Step 6: Final answer
   x = 3,284.28