Finding the Third Proportional to 23,682 and 37,215

Step by Step Solution

1. Step 1: Write the proportion equation
   23,682 : 37,215 = 37,215 : x
2. Step 2: Convert to fraction form
   23,682/37,215 = 37,215/x
3. Step 3: Cross multiply
   23,682x = 37,215 × 37,215
4. Step 4: Simplify right side
   23,682x = 1,384,956,225
5. Step 5: Solve for x
   x = 1,384,956,225/23,682
6. Step 6: Final answer
   x = 58,481.39