Finding the Third Proportional to 20,178 and 42,796

Step by Step Solution

1. Step 1: Write the proportion equation
   20,178 : 42,796 = 42,796 : x
2. Step 2: Convert to fraction form
   20,178/42,796 = 42,796/x
3. Step 3: Cross multiply
   20,178x = 42,796 × 42,796
4. Step 4: Simplify right side
   20,178x = 1,831,497,616
5. Step 5: Solve for x
   x = 1,831,497,616/20,178
6. Step 6: Final answer
   x = 90,767.05