Finding the Third Proportional to 21,200 and 32,548

Step by Step Solution

1. Step 1: Write the proportion equation
   21,200 : 32,548 = 32,548 : x
2. Step 2: Convert to fraction form
   21,200/32,548 = 32,548/x
3. Step 3: Cross multiply
   21,200x = 32,548 × 32,548
4. Step 4: Simplify right side
   21,200x = 1,059,372,304
5. Step 5: Solve for x
   x = 1,059,372,304/21,200
6. Step 6: Final answer
   x = 49,970.39