Finding the Third Proportional to 10,749.38 and 16,007.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,749.38 : 16,007.63 = 16,007.63 : x
2. Step 2: Convert to fraction form
   10,749.38/16,007.63 = 16,007.63/x
3. Step 3: Cross multiply
   10,749.38x = 16,007.63 × 16,007.63
4. Step 4: Simplify right side
   10,749.38x = 256,244,058.14
5. Step 5: Solve for x
   x = 256,244,058.14/10,749.38
6. Step 6: Final answer
   x = 23,838.04