Finding the Third Proportional to 12,591 and 25,983

Step by Step Solution

1. Step 1: Write the proportion equation
   12,591 : 25,983 = 25,983 : x
2. Step 2: Convert to fraction form
   12,591/25,983 = 25,983/x
3. Step 3: Cross multiply
   12,591x = 25,983 × 25,983
4. Step 4: Simplify right side
   12,591x = 675,116,289
5. Step 5: Solve for x
   x = 675,116,289/12,591
6. Step 6: Final answer
   x = 53,618.96