Finding the Third Proportional to 11,644.38 and 16,460.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,644.38 : 16,460.75 = 16,460.75 : x
2. Step 2: Convert to fraction form
   11,644.38/16,460.75 = 16,460.75/x
3. Step 3: Cross multiply
   11,644.38x = 16,460.75 × 16,460.75
4. Step 4: Simplify right side
   11,644.38x = 270,956,290.56
5. Step 5: Solve for x
   x = 270,956,290.56/11,644.38
6. Step 6: Final answer
   x = 23,269.29