Finding the Third Proportional to 7,702 and 17,222

Step by Step Solution

1. Step 1: Write the proportion equation
   7,702 : 17,222 = 17,222 : x
2. Step 2: Convert to fraction form
   7,702/17,222 = 17,222/x
3. Step 3: Cross multiply
   7,702x = 17,222 × 17,222
4. Step 4: Simplify right side
   7,702x = 296,597,284
5. Step 5: Solve for x
   x = 296,597,284/7,702
6. Step 6: Final answer
   x = 38,509.13