Finding the Third Proportional to 7,724 and 15,826

Step by Step Solution

1. Step 1: Write the proportion equation
   7,724 : 15,826 = 15,826 : x
2. Step 2: Convert to fraction form
   7,724/15,826 = 15,826/x
3. Step 3: Cross multiply
   7,724x = 15,826 × 15,826
4. Step 4: Simplify right side
   7,724x = 250,462,276
5. Step 5: Solve for x
   x = 250,462,276/7,724
6. Step 6: Final answer
   x = 32,426.50