Finding the Third Proportional to 21,424 and 32,952

Step by Step Solution

1. Step 1: Write the proportion equation
   21,424 : 32,952 = 32,952 : x
2. Step 2: Convert to fraction form
   21,424/32,952 = 32,952/x
3. Step 3: Cross multiply
   21,424x = 32,952 × 32,952
4. Step 4: Simplify right side
   21,424x = 1,085,834,304
5. Step 5: Solve for x
   x = 1,085,834,304/21,424
6. Step 6: Final answer
   x = 50,683.08