Finding the Third Proportional to 12,005.50 and 18,174

Step by Step Solution

1. Step 1: Write the proportion equation
   12,005.50 : 18,174 = 18,174 : x
2. Step 2: Convert to fraction form
   12,005.50/18,174 = 18,174/x
3. Step 3: Cross multiply
   12,005.50x = 18,174 × 18,174
4. Step 4: Simplify right side
   12,005.50x = 330,294,276
5. Step 5: Solve for x
   x = 330,294,276/12,005.50
6. Step 6: Final answer
   x = 27,511.91