Finding the Third Proportional to 21,006 and 32,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,006 : 32,521.50 = 32,521.50 : x
2. Step 2: Convert to fraction form
   21,006/32,521.50 = 32,521.50/x
3. Step 3: Cross multiply
   21,006x = 32,521.50 × 32,521.50
4. Step 4: Simplify right side
   21,006x = 1,057,647,962.25
5. Step 5: Solve for x
   x = 1,057,647,962.25/21,006
6. Step 6: Final answer
   x = 50,349.80