Finding the Third Proportional to 21,843 and 32,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,843 : 32,728.50 = 32,728.50 : x
2. Step 2: Convert to fraction form
   21,843/32,728.50 = 32,728.50/x
3. Step 3: Cross multiply
   21,843x = 32,728.50 × 32,728.50
4. Step 4: Simplify right side
   21,843x = 1,071,154,712.25
5. Step 5: Solve for x
   x = 1,071,154,712.25/21,843
6. Step 6: Final answer
   x = 49,038.81