Finding the Third Proportional to 36,406 and 57,724

Step by Step Solution

1. Step 1: Write the proportion equation
   36,406 : 57,724 = 57,724 : x
2. Step 2: Convert to fraction form
   36,406/57,724 = 57,724/x
3. Step 3: Cross multiply
   36,406x = 57,724 × 57,724
4. Step 4: Simplify right side
   36,406x = 3,332,060,176
5. Step 5: Solve for x
   x = 3,332,060,176/36,406
6. Step 6: Final answer
   x = 91,525.03