Finding the Third Proportional to 20,102 and 41,814

Step by Step Solution

1. Step 1: Write the proportion equation
   20,102 : 41,814 = 41,814 : x
2. Step 2: Convert to fraction form
   20,102/41,814 = 41,814/x
3. Step 3: Cross multiply
   20,102x = 41,814 × 41,814
4. Step 4: Simplify right side
   20,102x = 1,748,410,596
5. Step 5: Solve for x
   x = 1,748,410,596/20,102
6. Step 6: Final answer
   x = 86,976.95