Finding the Third Proportional to 2,395 and 5,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,395 : 5,261.50 = 5,261.50 : x
2. Step 2: Convert to fraction form
   2,395/5,261.50 = 5,261.50/x
3. Step 3: Cross multiply
   2,395x = 5,261.50 × 5,261.50
4. Step 4: Simplify right side
   2,395x = 27,683,382.25
5. Step 5: Solve for x
   x = 27,683,382.25/2,395
6. Step 6: Final answer
   x = 11,558.82