Finding the Third Proportional to 26,544 and 37,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,544 : 37,189.50 = 37,189.50 : x
2. Step 2: Convert to fraction form
   26,544/37,189.50 = 37,189.50/x
3. Step 3: Cross multiply
   26,544x = 37,189.50 × 37,189.50
4. Step 4: Simplify right side
   26,544x = 1,383,058,910.25
5. Step 5: Solve for x
   x = 1,383,058,910.25/26,544
6. Step 6: Final answer
   x = 52,104.39