Finding the Third Proportional to 21,782.75 and 32,587.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,782.75 : 32,587.50 = 32,587.50 : x
2. Step 2: Convert to fraction form
   21,782.75/32,587.50 = 32,587.50/x
3. Step 3: Cross multiply
   21,782.75x = 32,587.50 × 32,587.50
4. Step 4: Simplify right side
   21,782.75x = 1,061,945,156.25
5. Step 5: Solve for x
   x = 1,061,945,156.25/21,782.75
6. Step 6: Final answer
   x = 48,751.66