Finding the Third Proportional to 35,723 and 56,517

Step by Step Solution

1. Step 1: Write the proportion equation
   35,723 : 56,517 = 56,517 : x
2. Step 2: Convert to fraction form
   35,723/56,517 = 56,517/x
3. Step 3: Cross multiply
   35,723x = 56,517 × 56,517
4. Step 4: Simplify right side
   35,723x = 3,194,171,289
5. Step 5: Solve for x
   x = 3,194,171,289/35,723
6. Step 6: Final answer
   x = 89,414.98