Finding the Third Proportional to 12,583 and 25,962

Step by Step Solution

1. Step 1: Write the proportion equation
   12,583 : 25,962 = 25,962 : x
2. Step 2: Convert to fraction form
   12,583/25,962 = 25,962/x
3. Step 3: Cross multiply
   12,583x = 25,962 × 25,962
4. Step 4: Simplify right side
   12,583x = 674,025,444
5. Step 5: Solve for x
   x = 674,025,444/12,583
6. Step 6: Final answer
   x = 53,566.35