Finding the Third Proportional to 2,373.88 and 5,165.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,373.88 : 5,165.83 = 5,165.83 : x
2. Step 2: Convert to fraction form
   2,373.88/5,165.83 = 5,165.83/x
3. Step 3: Cross multiply
   2,373.88x = 5,165.83 × 5,165.83
4. Step 4: Simplify right side
   2,373.88x = 26,685,762.56
5. Step 5: Solve for x
   x = 26,685,762.56/2,373.88
6. Step 6: Final answer
   x = 11,241.42