Finding the Third Proportional to 10,585.69 and 11,557.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.69 : 11,557.69 = 11,557.69 : x
2. Step 2: Convert to fraction form
   10,585.69/11,557.69 = 11,557.69/x
3. Step 3: Cross multiply
   10,585.69x = 11,557.69 × 11,557.69
4. Step 4: Simplify right side
   10,585.69x = 133,580,140.35
5. Step 5: Solve for x
   x = 133,580,140.35/10,585.69
6. Step 6: Final answer
   x = 12,618.94