Finding the Third Proportional to 13,826 and 32,469

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826 : 32,469 = 32,469 : x
2. Step 2: Convert to fraction form
   13,826/32,469 = 32,469/x
3. Step 3: Cross multiply
   13,826x = 32,469 × 32,469
4. Step 4: Simplify right side
   13,826x = 1,054,235,961
5. Step 5: Solve for x
   x = 1,054,235,961/13,826
6. Step 6: Final answer
   x = 76,250.25