Finding the Third Proportional to 10,693.69 and 11,854.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,693.69 : 11,854.69 = 11,854.69 : x
2. Step 2: Convert to fraction form
   10,693.69/11,854.69 = 11,854.69/x
3. Step 3: Cross multiply
   10,693.69x = 11,854.69 × 11,854.69
4. Step 4: Simplify right side
   10,693.69x = 140,533,615.72
5. Step 5: Solve for x
   x = 140,533,615.72/10,693.69
6. Step 6: Final answer
   x = 13,141.74