Finding the Third Proportional to 23,206 and 37,365

Step by Step Solution

1. Step 1: Write the proportion equation
   23,206 : 37,365 = 37,365 : x
2. Step 2: Convert to fraction form
   23,206/37,365 = 37,365/x
3. Step 3: Cross multiply
   23,206x = 37,365 × 37,365
4. Step 4: Simplify right side
   23,206x = 1,396,143,225
5. Step 5: Solve for x
   x = 1,396,143,225/23,206
6. Step 6: Final answer
   x = 60,163.03