Finding the Third Proportional to 21,780 and 32,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,780 : 32,584.50 = 32,584.50 : x
2. Step 2: Convert to fraction form
   21,780/32,584.50 = 32,584.50/x
3. Step 3: Cross multiply
   21,780x = 32,584.50 × 32,584.50
4. Step 4: Simplify right side
   21,780x = 1,061,749,640.25
5. Step 5: Solve for x
   x = 1,061,749,640.25/21,780
6. Step 6: Final answer
   x = 48,748.84