Finding the Third Proportional to 23,727 and 37,029

Step by Step Solution

1. Step 1: Write the proportion equation
   23,727 : 37,029 = 37,029 : x
2. Step 2: Convert to fraction form
   23,727/37,029 = 37,029/x
3. Step 3: Cross multiply
   23,727x = 37,029 × 37,029
4. Step 4: Simplify right side
   23,727x = 1,371,146,841
5. Step 5: Solve for x
   x = 1,371,146,841/23,727
6. Step 6: Final answer
   x = 57,788.46