Finding the Third Proportional to 20,178 and 42,759

Step by Step Solution

1. Step 1: Write the proportion equation
   20,178 : 42,759 = 42,759 : x
2. Step 2: Convert to fraction form
   20,178/42,759 = 42,759/x
3. Step 3: Cross multiply
   20,178x = 42,759 × 42,759
4. Step 4: Simplify right side
   20,178x = 1,828,332,081
5. Step 5: Solve for x
   x = 1,828,332,081/20,178
6. Step 6: Final answer
   x = 90,610.17