Finding the Third Proportional to 10,686.94 and 11,828.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686.94 : 11,828.53 = 11,828.53 : x
2. Step 2: Convert to fraction form
   10,686.94/11,828.53 = 11,828.53/x
3. Step 3: Cross multiply
   10,686.94x = 11,828.53 × 11,828.53
4. Step 4: Simplify right side
   10,686.94x = 139,914,151.53
5. Step 5: Solve for x
   x = 139,914,151.53/10,686.94
6. Step 6: Final answer
   x = 13,092.07