Finding the Third Proportional to 6,476 and 15,662

Step by Step Solution

1. Step 1: Write the proportion equation
   6,476 : 15,662 = 15,662 : x
2. Step 2: Convert to fraction form
   6,476/15,662 = 15,662/x
3. Step 3: Cross multiply
   6,476x = 15,662 × 15,662
4. Step 4: Simplify right side
   6,476x = 245,298,244
5. Step 5: Solve for x
   x = 245,298,244/6,476
6. Step 6: Final answer
   x = 37,878.05