Finding the Third Proportional to 7,726.50 and 16,956.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,726.50 : 16,956.56 = 16,956.56 : x
2. Step 2: Convert to fraction form
   7,726.50/16,956.56 = 16,956.56/x
3. Step 3: Cross multiply
   7,726.50x = 16,956.56 × 16,956.56
4. Step 4: Simplify right side
   7,726.50x = 287,525,011.82
5. Step 5: Solve for x
   x = 287,525,011.82/7,726.50
6. Step 6: Final answer
   x = 37,212.84