Finding the Third Proportional to 36,456 and 57,114

Step by Step Solution

1. Step 1: Write the proportion equation
   36,456 : 57,114 = 57,114 : x
2. Step 2: Convert to fraction form
   36,456/57,114 = 57,114/x
3. Step 3: Cross multiply
   36,456x = 57,114 × 57,114
4. Step 4: Simplify right side
   36,456x = 3,262,008,996
5. Step 5: Solve for x
   x = 3,262,008,996/36,456
6. Step 6: Final answer
   x = 89,477.97