Finding the Third Proportional to 23,618 and 51,178

Step by Step Solution

1. Step 1: Write the proportion equation
   23,618 : 51,178 = 51,178 : x
2. Step 2: Convert to fraction form
   23,618/51,178 = 51,178/x
3. Step 3: Cross multiply
   23,618x = 51,178 × 51,178
4. Step 4: Simplify right side
   23,618x = 2,619,187,684
5. Step 5: Solve for x
   x = 2,619,187,684/23,618
6. Step 6: Final answer
   x = 110,897.95