Finding the Third Proportional to 2,362.92 and 5,186.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,362.92 : 5,186.53 = 5,186.53 : x
2. Step 2: Convert to fraction form
   2,362.92/5,186.53 = 5,186.53/x
3. Step 3: Cross multiply
   2,362.92x = 5,186.53 × 5,186.53
4. Step 4: Simplify right side
   2,362.92x = 26,900,106.41
5. Step 5: Solve for x
   x = 26,900,106.41/2,362.92
6. Step 6: Final answer
   x = 11,384.26