Finding the Third Proportional to 11,178 and 18,498.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,178 : 18,498.38 = 18,498.38 : x
2. Step 2: Convert to fraction form
   11,178/18,498.38 = 18,498.38/x
3. Step 3: Cross multiply
   11,178x = 18,498.38 × 18,498.38
4. Step 4: Simplify right side
   11,178x = 342,189,877.64
5. Step 5: Solve for x
   x = 342,189,877.64/11,178
6. Step 6: Final answer
   x = 30,612.80