Finding the Third Proportional to 10,736.91 and 16,223.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,736.91 : 16,223.06 = 16,223.06 : x
2. Step 2: Convert to fraction form
   10,736.91/16,223.06 = 16,223.06/x
3. Step 3: Cross multiply
   10,736.91x = 16,223.06 × 16,223.06
4. Step 4: Simplify right side
   10,736.91x = 263,187,756.88
5. Step 5: Solve for x
   x = 263,187,756.88/10,736.91
6. Step 6: Final answer
   x = 24,512.44