Finding the Third Proportional to 22,591 and 33,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,591 : 33,559.50 = 33,559.50 : x
2. Step 2: Convert to fraction form
   22,591/33,559.50 = 33,559.50/x
3. Step 3: Cross multiply
   22,591x = 33,559.50 × 33,559.50
4. Step 4: Simplify right side
   22,591x = 1,126,240,040.25
5. Step 5: Solve for x
   x = 1,126,240,040.25/22,591
6. Step 6: Final answer
   x = 49,853.48