Finding the Third Proportional to 21,781.50 and 32,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,781.50 : 32,584.50 = 32,584.50 : x
2. Step 2: Convert to fraction form
   21,781.50/32,584.50 = 32,584.50/x
3. Step 3: Cross multiply
   21,781.50x = 32,584.50 × 32,584.50
4. Step 4: Simplify right side
   21,781.50x = 1,061,749,640.25
5. Step 5: Solve for x
   x = 1,061,749,640.25/21,781.50
6. Step 6: Final answer
   x = 48,745.48