Finding the Third Proportional to 11,664 and 17,663.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664 : 17,663.06 = 17,663.06 : x
2. Step 2: Convert to fraction form
   11,664/17,663.06 = 17,663.06/x
3. Step 3: Cross multiply
   11,664x = 17,663.06 × 17,663.06
4. Step 4: Simplify right side
   11,664x = 311,983,776.88
5. Step 5: Solve for x
   x = 311,983,776.88/11,664
6. Step 6: Final answer
   x = 26,747.58