Finding the Third Proportional to 11,866.50 and 18,141.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,866.50 : 18,141.75 = 18,141.75 : x
2. Step 2: Convert to fraction form
   11,866.50/18,141.75 = 18,141.75/x
3. Step 3: Cross multiply
   11,866.50x = 18,141.75 × 18,141.75
4. Step 4: Simplify right side
   11,866.50x = 329,123,093.06
5. Step 5: Solve for x
   x = 329,123,093.06/11,866.50
6. Step 6: Final answer
   x = 27,735.48