Finding the Third Proportional to 15,886 and 23,366

Step by Step Solution

1. Step 1: Write the proportion equation
   15,886 : 23,366 = 23,366 : x
2. Step 2: Convert to fraction form
   15,886/23,366 = 23,366/x
3. Step 3: Cross multiply
   15,886x = 23,366 × 23,366
4. Step 4: Simplify right side
   15,886x = 545,969,956
5. Step 5: Solve for x
   x = 545,969,956/15,886
6. Step 6: Final answer
   x = 34,367.99