Finding the Third Proportional to 10,216.13 and 11,628.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,216.13 : 11,628.56 = 11,628.56 : x
2. Step 2: Convert to fraction form
   10,216.13/11,628.56 = 11,628.56/x
3. Step 3: Cross multiply
   10,216.13x = 11,628.56 × 11,628.56
4. Step 4: Simplify right side
   10,216.13x = 135,223,465.82
5. Step 5: Solve for x
   x = 135,223,465.82/10,216.13
6. Step 6: Final answer
   x = 13,236.28