Finding the Third Proportional to 20,416 and 42,672

Step by Step Solution

1. Step 1: Write the proportion equation
   20,416 : 42,672 = 42,672 : x
2. Step 2: Convert to fraction form
   20,416/42,672 = 42,672/x
3. Step 3: Cross multiply
   20,416x = 42,672 × 42,672
4. Step 4: Simplify right side
   20,416x = 1,820,899,584
5. Step 5: Solve for x
   x = 1,820,899,584/20,416
6. Step 6: Final answer
   x = 89,189.83