Finding the Third Proportional to 1,141.75 and 1,632.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.75 : 1,632.25 = 1,632.25 : x
2. Step 2: Convert to fraction form
   1,141.75/1,632.25 = 1,632.25/x
3. Step 3: Cross multiply
   1,141.75x = 1,632.25 × 1,632.25
4. Step 4: Simplify right side
   1,141.75x = 2,664,240.06
5. Step 5: Solve for x
   x = 2,664,240.06/1,141.75
6. Step 6: Final answer
   x = 2,333.47