Finding the Third Proportional to 22,832 and 33,632.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,832 : 33,632.50 = 33,632.50 : x
2. Step 2: Convert to fraction form
   22,832/33,632.50 = 33,632.50/x
3. Step 3: Cross multiply
   22,832x = 33,632.50 × 33,632.50
4. Step 4: Simplify right side
   22,832x = 1,131,145,056.25
5. Step 5: Solve for x
   x = 1,131,145,056.25/22,832
6. Step 6: Final answer
   x = 49,542.09