Finding the Third Proportional to 1,436 and 2,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,436 : 2,153.50 = 2,153.50 : x
2. Step 2: Convert to fraction form
   1,436/2,153.50 = 2,153.50/x
3. Step 3: Cross multiply
   1,436x = 2,153.50 × 2,153.50
4. Step 4: Simplify right side
   1,436x = 4,637,562.25
5. Step 5: Solve for x
   x = 4,637,562.25/1,436
6. Step 6: Final answer
   x = 3,229.50