Finding the Third Proportional to 11,688 and 17,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688 : 17,653.50 = 17,653.50 : x
2. Step 2: Convert to fraction form
   11,688/17,653.50 = 17,653.50/x
3. Step 3: Cross multiply
   11,688x = 17,653.50 × 17,653.50
4. Step 4: Simplify right side
   11,688x = 311,646,062.25
5. Step 5: Solve for x
   x = 311,646,062.25/11,688
6. Step 6: Final answer
   x = 26,663.76