Finding the Third Proportional to 10,530 and 11,557.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,530 : 11,557.69 = 11,557.69 : x
2. Step 2: Convert to fraction form
   10,530/11,557.69 = 11,557.69/x
3. Step 3: Cross multiply
   10,530x = 11,557.69 × 11,557.69
4. Step 4: Simplify right side
   10,530x = 133,580,140.35
5. Step 5: Solve for x
   x = 133,580,140.35/10,530
6. Step 6: Final answer
   x = 12,685.67