Finding the Third Proportional to 20,102 and 42,459

Step by Step Solution

1. Step 1: Write the proportion equation
   20,102 : 42,459 = 42,459 : x
2. Step 2: Convert to fraction form
   20,102/42,459 = 42,459/x
3. Step 3: Cross multiply
   20,102x = 42,459 × 42,459
4. Step 4: Simplify right side
   20,102x = 1,802,766,681
5. Step 5: Solve for x
   x = 1,802,766,681/20,102
6. Step 6: Final answer
   x = 89,680.96