Finding the Third Proportional to 26,536 and 36,061

Step by Step Solution

1. Step 1: Write the proportion equation
   26,536 : 36,061 = 36,061 : x
2. Step 2: Convert to fraction form
   26,536/36,061 = 36,061/x
3. Step 3: Cross multiply
   26,536x = 36,061 × 36,061
4. Step 4: Simplify right side
   26,536x = 1,300,395,721
5. Step 5: Solve for x
   x = 1,300,395,721/26,536
6. Step 6: Final answer
   x = 49,004.96