Finding the Third Proportional to 22,886 and 35,469

Step by Step Solution

1. Step 1: Write the proportion equation
   22,886 : 35,469 = 35,469 : x
2. Step 2: Convert to fraction form
   22,886/35,469 = 35,469/x
3. Step 3: Cross multiply
   22,886x = 35,469 × 35,469
4. Step 4: Simplify right side
   22,886x = 1,258,049,961
5. Step 5: Solve for x
   x = 1,258,049,961/22,886
6. Step 6: Final answer
   x = 54,970.29