Finding the Third Proportional to 21,456 and 33,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,456 : 33,538.50 = 33,538.50 : x
2. Step 2: Convert to fraction form
   21,456/33,538.50 = 33,538.50/x
3. Step 3: Cross multiply
   21,456x = 33,538.50 × 33,538.50
4. Step 4: Simplify right side
   21,456x = 1,124,830,982.25
5. Step 5: Solve for x
   x = 1,124,830,982.25/21,456
6. Step 6: Final answer
   x = 52,425.01