Finding the Third Proportional to 11,505.50 and 17,678.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,505.50 : 17,678.75 = 17,678.75 : x
2. Step 2: Convert to fraction form
   11,505.50/17,678.75 = 17,678.75/x
3. Step 3: Cross multiply
   11,505.50x = 17,678.75 × 17,678.75
4. Step 4: Simplify right side
   11,505.50x = 312,538,201.56
5. Step 5: Solve for x
   x = 312,538,201.56/11,505.50
6. Step 6: Final answer
   x = 27,164.24