Finding the Third Proportional to 35,854 and 56,757

Step by Step Solution

1. Step 1: Write the proportion equation
   35,854 : 56,757 = 56,757 : x
2. Step 2: Convert to fraction form
   35,854/56,757 = 56,757/x
3. Step 3: Cross multiply
   35,854x = 56,757 × 56,757
4. Step 4: Simplify right side
   35,854x = 3,221,357,049
5. Step 5: Solve for x
   x = 3,221,357,049/35,854
6. Step 6: Final answer
   x = 89,846.52