Finding the Third Proportional to 26,096 and 37,184

Step by Step Solution

1. Step 1: Write the proportion equation
   26,096 : 37,184 = 37,184 : x
2. Step 2: Convert to fraction form
   26,096/37,184 = 37,184/x
3. Step 3: Cross multiply
   26,096x = 37,184 × 37,184
4. Step 4: Simplify right side
   26,096x = 1,382,649,856
5. Step 5: Solve for x
   x = 1,382,649,856/26,096
6. Step 6: Final answer
   x = 52,983.21