Finding the Third Proportional to 11,270 and 17,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,270 : 17,678.50 = 17,678.50 : x
2. Step 2: Convert to fraction form
   11,270/17,678.50 = 17,678.50/x
3. Step 3: Cross multiply
   11,270x = 17,678.50 × 17,678.50
4. Step 4: Simplify right side
   11,270x = 312,529,362.25
5. Step 5: Solve for x
   x = 312,529,362.25/11,270
6. Step 6: Final answer
   x = 27,731.09