Finding the Third Proportional to 20,902 and 42,343

Step by Step Solution

1. Step 1: Write the proportion equation
   20,902 : 42,343 = 42,343 : x
2. Step 2: Convert to fraction form
   20,902/42,343 = 42,343/x
3. Step 3: Cross multiply
   20,902x = 42,343 × 42,343
4. Step 4: Simplify right side
   20,902x = 1,792,929,649
5. Step 5: Solve for x
   x = 1,792,929,649/20,902
6. Step 6: Final answer
   x = 85,777.90