Finding the Third Proportional to 22,005 and 33,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,005 : 33,961.50 = 33,961.50 : x
2. Step 2: Convert to fraction form
   22,005/33,961.50 = 33,961.50/x
3. Step 3: Cross multiply
   22,005x = 33,961.50 × 33,961.50
4. Step 4: Simplify right side
   22,005x = 1,153,383,482.25
5. Step 5: Solve for x
   x = 1,153,383,482.25/22,005
6. Step 6: Final answer
   x = 52,414.61