Finding the Third Proportional to 2,132.75 and 4,632.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,132.75 : 4,632.25 = 4,632.25 : x
2. Step 2: Convert to fraction form
   2,132.75/4,632.25 = 4,632.25/x
3. Step 3: Cross multiply
   2,132.75x = 4,632.25 × 4,632.25
4. Step 4: Simplify right side
   2,132.75x = 21,457,740.06
5. Step 5: Solve for x
   x = 21,457,740.06/2,132.75
6. Step 6: Final answer
   x = 10,061.07