Finding the Third Proportional to 16,591 and 24,826

Step by Step Solution

1. Step 1: Write the proportion equation
   16,591 : 24,826 = 24,826 : x
2. Step 2: Convert to fraction form
   16,591/24,826 = 24,826/x
3. Step 3: Cross multiply
   16,591x = 24,826 × 24,826
4. Step 4: Simplify right side
   16,591x = 616,330,276
5. Step 5: Solve for x
   x = 616,330,276/16,591
6. Step 6: Final answer
   x = 37,148.47