Finding the Third Proportional to 23,757 and 37,617

Step by Step Solution

1. Step 1: Write the proportion equation
   23,757 : 37,617 = 37,617 : x
2. Step 2: Convert to fraction form
   23,757/37,617 = 37,617/x
3. Step 3: Cross multiply
   23,757x = 37,617 × 37,617
4. Step 4: Simplify right side
   23,757x = 1,415,038,689
5. Step 5: Solve for x
   x = 1,415,038,689/23,757
6. Step 6: Final answer
   x = 59,563.02