Finding the Third Proportional to 1,533 and 2,300.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533 : 2,300.25 = 2,300.25 : x
2. Step 2: Convert to fraction form
   1,533/2,300.25 = 2,300.25/x
3. Step 3: Cross multiply
   1,533x = 2,300.25 × 2,300.25
4. Step 4: Simplify right side
   1,533x = 5,291,150.06
5. Step 5: Solve for x
   x = 5,291,150.06/1,533
6. Step 6: Final answer
   x = 3,451.50