Finding the Third Proportional to 22,287 and 33,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,287 : 33,322.50 = 33,322.50 : x
2. Step 2: Convert to fraction form
   22,287/33,322.50 = 33,322.50/x
3. Step 3: Cross multiply
   22,287x = 33,322.50 × 33,322.50
4. Step 4: Simplify right side
   22,287x = 1,110,389,006.25
5. Step 5: Solve for x
   x = 1,110,389,006.25/22,287
6. Step 6: Final answer
   x = 49,822.27