Finding the Third Proportional to 22,365 and 33,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,365 : 33,205.50 = 33,205.50 : x
2. Step 2: Convert to fraction form
   22,365/33,205.50 = 33,205.50/x
3. Step 3: Cross multiply
   22,365x = 33,205.50 × 33,205.50
4. Step 4: Simplify right side
   22,365x = 1,102,605,230.25
5. Step 5: Solve for x
   x = 1,102,605,230.25/22,365
6. Step 6: Final answer
   x = 49,300.48