Finding the Third Proportional to 20,455 and 42,214

Step by Step Solution

1. Step 1: Write the proportion equation
   20,455 : 42,214 = 42,214 : x
2. Step 2: Convert to fraction form
   20,455/42,214 = 42,214/x
3. Step 3: Cross multiply
   20,455x = 42,214 × 42,214
4. Step 4: Simplify right side
   20,455x = 1,782,021,796
5. Step 5: Solve for x
   x = 1,782,021,796/20,455
6. Step 6: Final answer
   x = 87,119.13