Finding the Third Proportional to 23,213 and 33,826

Step by Step Solution

1. Step 1: Write the proportion equation
   23,213 : 33,826 = 33,826 : x
2. Step 2: Convert to fraction form
   23,213/33,826 = 33,826/x
3. Step 3: Cross multiply
   23,213x = 33,826 × 33,826
4. Step 4: Simplify right side
   23,213x = 1,144,198,276
5. Step 5: Solve for x
   x = 1,144,198,276/23,213
6. Step 6: Final answer
   x = 49,291.27