Finding the Third Proportional to 35,863 and 75,826

Step by Step Solution

1. Step 1: Write the proportion equation
   35,863 : 75,826 = 75,826 : x
2. Step 2: Convert to fraction form
   35,863/75,826 = 75,826/x
3. Step 3: Cross multiply
   35,863x = 75,826 × 75,826
4. Step 4: Simplify right side
   35,863x = 5,749,582,276
5. Step 5: Solve for x
   x = 5,749,582,276/35,863
6. Step 6: Final answer
   x = 160,320.73