Finding the Third Proportional to 7,797 and 17,322

Step by Step Solution

1. Step 1: Write the proportion equation
   7,797 : 17,322 = 17,322 : x
2. Step 2: Convert to fraction form
   7,797/17,322 = 17,322/x
3. Step 3: Cross multiply
   7,797x = 17,322 × 17,322
4. Step 4: Simplify right side
   7,797x = 300,051,684
5. Step 5: Solve for x
   x = 300,051,684/7,797
6. Step 6: Final answer
   x = 38,482.97