Finding the Third Proportional to 11,644 and 16,460.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,644 : 16,460.25 = 16,460.25 : x
2. Step 2: Convert to fraction form
   11,644/16,460.25 = 16,460.25/x
3. Step 3: Cross multiply
   11,644x = 16,460.25 × 16,460.25
4. Step 4: Simplify right side
   11,644x = 270,939,830.06
5. Step 5: Solve for x
   x = 270,939,830.06/11,644
6. Step 6: Final answer
   x = 23,268.62