Finding the Third Proportional to 21,978 and 33,520.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,978 : 33,520.50 = 33,520.50 : x
2. Step 2: Convert to fraction form
   21,978/33,520.50 = 33,520.50/x
3. Step 3: Cross multiply
   21,978x = 33,520.50 × 33,520.50
4. Step 4: Simplify right side
   21,978x = 1,123,623,920.25
5. Step 5: Solve for x
   x = 1,123,623,920.25/21,978
6. Step 6: Final answer
   x = 51,124.94