Finding the Third Proportional to 21,223 and 32,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,223 : 32,320.50 = 32,320.50 : x
2. Step 2: Convert to fraction form
   21,223/32,320.50 = 32,320.50/x
3. Step 3: Cross multiply
   21,223x = 32,320.50 × 32,320.50
4. Step 4: Simplify right side
   21,223x = 1,044,614,720.25
5. Step 5: Solve for x
   x = 1,044,614,720.25/21,223
6. Step 6: Final answer
   x = 49,220.88