Finding the Third Proportional to 22,584 and 33,548.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,584 : 33,548.50 = 33,548.50 : x
2. Step 2: Convert to fraction form
   22,584/33,548.50 = 33,548.50/x
3. Step 3: Cross multiply
   22,584x = 33,548.50 × 33,548.50
4. Step 4: Simplify right side
   22,584x = 1,125,501,852.25
5. Step 5: Solve for x
   x = 1,125,501,852.25/22,584
6. Step 6: Final answer
   x = 49,836.25