Finding the Third Proportional to 11,178 and 21,786.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,178 : 21,786.75 = 21,786.75 : x
2. Step 2: Convert to fraction form
   11,178/21,786.75 = 21,786.75/x
3. Step 3: Cross multiply
   11,178x = 21,786.75 × 21,786.75
4. Step 4: Simplify right side
   11,178x = 474,662,475.56
5. Step 5: Solve for x
   x = 474,662,475.56/11,178
6. Step 6: Final answer
   x = 42,463.99