Finding the Third Proportional to 1,453 and 2,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,453 : 2,233.50 = 2,233.50 : x
2. Step 2: Convert to fraction form
   1,453/2,233.50 = 2,233.50/x
3. Step 3: Cross multiply
   1,453x = 2,233.50 × 2,233.50
4. Step 4: Simplify right side
   1,453x = 4,988,522.25
5. Step 5: Solve for x
   x = 4,988,522.25/1,453
6. Step 6: Final answer
   x = 3,433.26