Finding the Third Proportional to 26,174.25 and 37,383.75

Step by Step Solution

1. Step 1: Write the proportion equation
   26,174.25 : 37,383.75 = 37,383.75 : x
2. Step 2: Convert to fraction form
   26,174.25/37,383.75 = 37,383.75/x
3. Step 3: Cross multiply
   26,174.25x = 37,383.75 × 37,383.75
4. Step 4: Simplify right side
   26,174.25x = 1,397,544,764.06
5. Step 5: Solve for x
   x = 1,397,544,764.06/26,174.25
6. Step 6: Final answer
   x = 53,393.88