Finding the Third Proportional to 11,178 and 17,678.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,178 : 17,678.25 = 17,678.25 : x
2. Step 2: Convert to fraction form
   11,178/17,678.25 = 17,678.25/x
3. Step 3: Cross multiply
   11,178x = 17,678.25 × 17,678.25
4. Step 4: Simplify right side
   11,178x = 312,520,523.06
5. Step 5: Solve for x
   x = 312,520,523.06/11,178
6. Step 6: Final answer
   x = 27,958.54