Finding the Third Proportional to 20,102 and 42,434

Step by Step Solution

1. Step 1: Write the proportion equation
   20,102 : 42,434 = 42,434 : x
2. Step 2: Convert to fraction form
   20,102/42,434 = 42,434/x
3. Step 3: Cross multiply
   20,102x = 42,434 × 42,434
4. Step 4: Simplify right side
   20,102x = 1,800,644,356
5. Step 5: Solve for x
   x = 1,800,644,356/20,102
6. Step 6: Final answer
   x = 89,575.38