Finding the Third Proportional to 12,165.75 and 26,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,165.75 : 26,408.50 = 26,408.50 : x
2. Step 2: Convert to fraction form
   12,165.75/26,408.50 = 26,408.50/x
3. Step 3: Cross multiply
   12,165.75x = 26,408.50 × 26,408.50
4. Step 4: Simplify right side
   12,165.75x = 697,408,872.25
5. Step 5: Solve for x
   x = 697,408,872.25/12,165.75
6. Step 6: Final answer
   x = 57,325.60