Finding the Third Proportional to 22,830 and 33,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,830 : 33,629.50 = 33,629.50 : x
2. Step 2: Convert to fraction form
   22,830/33,629.50 = 33,629.50/x
3. Step 3: Cross multiply
   22,830x = 33,629.50 × 33,629.50
4. Step 4: Simplify right side
   22,830x = 1,130,943,270.25
5. Step 5: Solve for x
   x = 1,130,943,270.25/22,830
6. Step 6: Final answer
   x = 49,537.59