Finding the Third Proportional to 20,848 and 32,404

Step by Step Solution

1. Step 1: Write the proportion equation
   20,848 : 32,404 = 32,404 : x
2. Step 2: Convert to fraction form
   20,848/32,404 = 32,404/x
3. Step 3: Cross multiply
   20,848x = 32,404 × 32,404
4. Step 4: Simplify right side
   20,848x = 1,050,019,216
5. Step 5: Solve for x
   x = 1,050,019,216/20,848
6. Step 6: Final answer
   x = 50,365.47