Finding the Third Proportional to 20,400 and 42,848

Step by Step Solution

1. Step 1: Write the proportion equation
   20,400 : 42,848 = 42,848 : x
2. Step 2: Convert to fraction form
   20,400/42,848 = 42,848/x
3. Step 3: Cross multiply
   20,400x = 42,848 × 42,848
4. Step 4: Simplify right side
   20,400x = 1,835,951,104
5. Step 5: Solve for x
   x = 1,835,951,104/20,400
6. Step 6: Final answer
   x = 89,997.60