Finding the Third Proportional to 21,792 and 32,658.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,792 : 32,658.75 = 32,658.75 : x
2. Step 2: Convert to fraction form
   21,792/32,658.75 = 32,658.75/x
3. Step 3: Cross multiply
   21,792x = 32,658.75 × 32,658.75
4. Step 4: Simplify right side
   21,792x = 1,066,593,951.56
5. Step 5: Solve for x
   x = 1,066,593,951.56/21,792
6. Step 6: Final answer
   x = 48,944.29