Finding the Third Proportional to 26,181 and 37,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,181 : 37,408.50 = 37,408.50 : x
2. Step 2: Convert to fraction form
   26,181/37,408.50 = 37,408.50/x
3. Step 3: Cross multiply
   26,181x = 37,408.50 × 37,408.50
4. Step 4: Simplify right side
   26,181x = 1,399,395,872.25
5. Step 5: Solve for x
   x = 1,399,395,872.25/26,181
6. Step 6: Final answer
   x = 53,450.82