Finding the Third Proportional to 11,709.56 and 13,775.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,709.56 : 13,775.06 = 13,775.06 : x
2. Step 2: Convert to fraction form
   11,709.56/13,775.06 = 13,775.06/x
3. Step 3: Cross multiply
   11,709.56x = 13,775.06 × 13,775.06
4. Step 4: Simplify right side
   11,709.56x = 189,752,346.88
5. Step 5: Solve for x
   x = 189,752,346.88/11,709.56
6. Step 6: Final answer
   x = 16,204.90