Finding the Third Proportional to 2,361.66 and 5,380.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,361.66 : 5,380.17 = 5,380.17 : x
2. Step 2: Convert to fraction form
   2,361.66/5,380.17 = 5,380.17/x
3. Step 3: Cross multiply
   2,361.66x = 5,380.17 × 5,380.17
4. Step 4: Simplify right side
   2,361.66x = 28,946,249.40
5. Step 5: Solve for x
   x = 28,946,249.40/2,361.66
6. Step 6: Final answer
   x = 12,256.76