Finding the Third Proportional to 21,777 and 33,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,777 : 33,517.50 = 33,517.50 : x
2. Step 2: Convert to fraction form
   21,777/33,517.50 = 33,517.50/x
3. Step 3: Cross multiply
   21,777x = 33,517.50 × 33,517.50
4. Step 4: Simplify right side
   21,777x = 1,123,422,806.25
5. Step 5: Solve for x
   x = 1,123,422,806.25/21,777
6. Step 6: Final answer
   x = 51,587.58