Finding the Third Proportional to 23,668 and 37,126

Step by Step Solution

1. Step 1: Write the proportion equation
   23,668 : 37,126 = 37,126 : x
2. Step 2: Convert to fraction form
   23,668/37,126 = 37,126/x
3. Step 3: Cross multiply
   23,668x = 37,126 × 37,126
4. Step 4: Simplify right side
   23,668x = 1,378,339,876
5. Step 5: Solve for x
   x = 1,378,339,876/23,668
6. Step 6: Final answer
   x = 58,236.43