Finding the Third Proportional to 21,333 and 32,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,333 : 32,293.50 = 32,293.50 : x
2. Step 2: Convert to fraction form
   21,333/32,293.50 = 32,293.50/x
3. Step 3: Cross multiply
   21,333x = 32,293.50 × 32,293.50
4. Step 4: Simplify right side
   21,333x = 1,042,870,142.25
5. Step 5: Solve for x
   x = 1,042,870,142.25/21,333
6. Step 6: Final answer
   x = 48,885.30