Finding the Third Proportional to 21,896 and 33,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,896 : 33,968.50 = 33,968.50 : x
2. Step 2: Convert to fraction form
   21,896/33,968.50 = 33,968.50/x
3. Step 3: Cross multiply
   21,896x = 33,968.50 × 33,968.50
4. Step 4: Simplify right side
   21,896x = 1,153,858,992.25
5. Step 5: Solve for x
   x = 1,153,858,992.25/21,896
6. Step 6: Final answer
   x = 52,697.25