Finding the Third Proportional to 36,892 and 42,178

Step by Step Solution

1. Step 1: Write the proportion equation
   36,892 : 42,178 = 42,178 : x
2. Step 2: Convert to fraction form
   36,892/42,178 = 42,178/x
3. Step 3: Cross multiply
   36,892x = 42,178 × 42,178
4. Step 4: Simplify right side
   36,892x = 1,778,983,684
5. Step 5: Solve for x
   x = 1,778,983,684/36,892
6. Step 6: Final answer
   x = 48,221.39