Finding the Third Proportional to 15,731 and 34,222

Step by Step Solution

1. Step 1: Write the proportion equation
   15,731 : 34,222 = 34,222 : x
2. Step 2: Convert to fraction form
   15,731/34,222 = 34,222/x
3. Step 3: Cross multiply
   15,731x = 34,222 × 34,222
4. Step 4: Simplify right side
   15,731x = 1,171,145,284
5. Step 5: Solve for x
   x = 1,171,145,284/15,731
6. Step 6: Final answer
   x = 74,448.24