Finding the Third Proportional to 26,536 and 37,196

Step by Step Solution

1. Step 1: Write the proportion equation
   26,536 : 37,196 = 37,196 : x
2. Step 2: Convert to fraction form
   26,536/37,196 = 37,196/x
3. Step 3: Cross multiply
   26,536x = 37,196 × 37,196
4. Step 4: Simplify right side
   26,536x = 1,383,542,416
5. Step 5: Solve for x
   x = 1,383,542,416/26,536
6. Step 6: Final answer
   x = 52,138.32