Finding the Third Proportional to 20,896 and 32,000

Step by Step Solution

1. Step 1: Write the proportion equation
   20,896 : 32,000 = 32,000 : x
2. Step 2: Convert to fraction form
   20,896/32,000 = 32,000/x
3. Step 3: Cross multiply
   20,896x = 32,000 × 32,000
4. Step 4: Simplify right side
   20,896x = 1,024,000,000
5. Step 5: Solve for x
   x = 1,024,000,000/20,896
6. Step 6: Final answer
   x = 49,004.59