Finding the Third Proportional to 23,768 and 37,383

Step by Step Solution

1. Step 1: Write the proportion equation
   23,768 : 37,383 = 37,383 : x
2. Step 2: Convert to fraction form
   23,768/37,383 = 37,383/x
3. Step 3: Cross multiply
   23,768x = 37,383 × 37,383
4. Step 4: Simplify right side
   23,768x = 1,397,488,689
5. Step 5: Solve for x
   x = 1,397,488,689/23,768
6. Step 6: Final answer
   x = 58,797.07