Finding the Third Proportional to 37,314 and 57,774

Step by Step Solution

1. Step 1: Write the proportion equation
   37,314 : 57,774 = 57,774 : x
2. Step 2: Convert to fraction form
   37,314/57,774 = 57,774/x
3. Step 3: Cross multiply
   37,314x = 57,774 × 57,774
4. Step 4: Simplify right side
   37,314x = 3,337,835,076
5. Step 5: Solve for x
   x = 3,337,835,076/37,314
6. Step 6: Final answer
   x = 89,452.62