Finding the Third Proportional to 7,826 and 17,056

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826 : 17,056 = 17,056 : x
2. Step 2: Convert to fraction form
   7,826/17,056 = 17,056/x
3. Step 3: Cross multiply
   7,826x = 17,056 × 17,056
4. Step 4: Simplify right side
   7,826x = 290,907,136
5. Step 5: Solve for x
   x = 290,907,136/7,826
6. Step 6: Final answer
   x = 37,171.88