Finding the Third Proportional to 15,826 and 34,628

Step by Step Solution

1. Step 1: Write the proportion equation
   15,826 : 34,628 = 34,628 : x
2. Step 2: Convert to fraction form
   15,826/34,628 = 34,628/x
3. Step 3: Cross multiply
   15,826x = 34,628 × 34,628
4. Step 4: Simplify right side
   15,826x = 1,199,098,384
5. Step 5: Solve for x
   x = 1,199,098,384/15,826
6. Step 6: Final answer
   x = 75,767.62