Finding the Third Proportional to 23,820 and 37,684

Step by Step Solution

1. Step 1: Write the proportion equation
   23,820 : 37,684 = 37,684 : x
2. Step 2: Convert to fraction form
   23,820/37,684 = 37,684/x
3. Step 3: Cross multiply
   23,820x = 37,684 × 37,684
4. Step 4: Simplify right side
   23,820x = 1,420,083,856
5. Step 5: Solve for x
   x = 1,420,083,856/23,820
6. Step 6: Final answer
   x = 59,617.29