Finding the Third Proportional to 20,106 and 42,414

Step by Step Solution

1. Step 1: Write the proportion equation
   20,106 : 42,414 = 42,414 : x
2. Step 2: Convert to fraction form
   20,106/42,414 = 42,414/x
3. Step 3: Cross multiply
   20,106x = 42,414 × 42,414
4. Step 4: Simplify right side
   20,106x = 1,798,947,396
5. Step 5: Solve for x
   x = 1,798,947,396/20,106
6. Step 6: Final answer
   x = 89,473.16