Finding the Third Proportional to 10,743.75 and 16,601.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,743.75 : 16,601.63 = 16,601.63 : x
2. Step 2: Convert to fraction form
   10,743.75/16,601.63 = 16,601.63/x
3. Step 3: Cross multiply
   10,743.75x = 16,601.63 × 16,601.63
4. Step 4: Simplify right side
   10,743.75x = 275,613,952.64
5. Step 5: Solve for x
   x = 275,613,952.64/10,743.75
6. Step 6: Final answer
   x = 25,653.42