Finding the Third Proportional to 22,081 and 32,821.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,081 : 32,821.50 = 32,821.50 : x
2. Step 2: Convert to fraction form
   22,081/32,821.50 = 32,821.50/x
3. Step 3: Cross multiply
   22,081x = 32,821.50 × 32,821.50
4. Step 4: Simplify right side
   22,081x = 1,077,250,862.25
5. Step 5: Solve for x
   x = 1,077,250,862.25/22,081
6. Step 6: Final answer
   x = 48,786.33