Finding the Third Proportional to 11,688.38 and 16,489.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688.38 : 16,489.50 = 16,489.50 : x
2. Step 2: Convert to fraction form
   11,688.38/16,489.50 = 16,489.50/x
3. Step 3: Cross multiply
   11,688.38x = 16,489.50 × 16,489.50
4. Step 4: Simplify right side
   11,688.38x = 271,903,610.25
5. Step 5: Solve for x
   x = 271,903,610.25/11,688.38
6. Step 6: Final answer
   x = 23,262.74