Finding the Third Proportional to 20,176 and 42,457

Step by Step Solution

1. Step 1: Write the proportion equation
   20,176 : 42,457 = 42,457 : x
2. Step 2: Convert to fraction form
   20,176/42,457 = 42,457/x
3. Step 3: Cross multiply
   20,176x = 42,457 × 42,457
4. Step 4: Simplify right side
   20,176x = 1,802,596,849
5. Step 5: Solve for x
   x = 1,802,596,849/20,176
6. Step 6: Final answer
   x = 89,343.62