Finding the Third Proportional to 12,584 and 25,978

Step by Step Solution

1. Step 1: Write the proportion equation
   12,584 : 25,978 = 25,978 : x
2. Step 2: Convert to fraction form
   12,584/25,978 = 25,978/x
3. Step 3: Cross multiply
   12,584x = 25,978 × 25,978
4. Step 4: Simplify right side
   12,584x = 674,856,484
5. Step 5: Solve for x
   x = 674,856,484/12,584
6. Step 6: Final answer
   x = 53,628.14