Finding the Third Proportional to 7,146 and 15,222

Step by Step Solution

1. Step 1: Write the proportion equation
   7,146 : 15,222 = 15,222 : x
2. Step 2: Convert to fraction form
   7,146/15,222 = 15,222/x
3. Step 3: Cross multiply
   7,146x = 15,222 × 15,222
4. Step 4: Simplify right side
   7,146x = 231,709,284
5. Step 5: Solve for x
   x = 231,709,284/7,146
6. Step 6: Final answer
   x = 32,425.03