Finding the Third Proportional to 22,185 and 33,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,185 : 33,508.50 = 33,508.50 : x
2. Step 2: Convert to fraction form
   22,185/33,508.50 = 33,508.50/x
3. Step 3: Cross multiply
   22,185x = 33,508.50 × 33,508.50
4. Step 4: Simplify right side
   22,185x = 1,122,819,572.25
5. Step 5: Solve for x
   x = 1,122,819,572.25/22,185
6. Step 6: Final answer
   x = 50,611.66