Finding the Third Proportional to 26,109 and 37,308

Step by Step Solution

1. Step 1: Write the proportion equation
   26,109 : 37,308 = 37,308 : x
2. Step 2: Convert to fraction form
   26,109/37,308 = 37,308/x
3. Step 3: Cross multiply
   26,109x = 37,308 × 37,308
4. Step 4: Simplify right side
   26,109x = 1,391,886,864
5. Step 5: Solve for x
   x = 1,391,886,864/26,109
6. Step 6: Final answer
   x = 53,310.62