Finding the Third Proportional to 21,840 and 32,940.75

Step by Step Solution

1. Step 1: Write the proportion equation
   21,840 : 32,940.75 = 32,940.75 : x
2. Step 2: Convert to fraction form
   21,840/32,940.75 = 32,940.75/x
3. Step 3: Cross multiply
   21,840x = 32,940.75 × 32,940.75
4. Step 4: Simplify right side
   21,840x = 1,085,093,010.56
5. Step 5: Solve for x
   x = 1,085,093,010.56/21,840
6. Step 6: Final answer
   x = 49,683.75