Finding the Third Proportional to 15,772 and 23,238

Step by Step Solution

1. Step 1: Write the proportion equation
   15,772 : 23,238 = 23,238 : x
2. Step 2: Convert to fraction form
   15,772/23,238 = 23,238/x
3. Step 3: Cross multiply
   15,772x = 23,238 × 23,238
4. Step 4: Simplify right side
   15,772x = 540,004,644
5. Step 5: Solve for x
   x = 540,004,644/15,772
6. Step 6: Final answer
   x = 34,238.18