Finding the Third Proportional to 12,586 and 25,719

Step by Step Solution

1. Step 1: Write the proportion equation
   12,586 : 25,719 = 25,719 : x
2. Step 2: Convert to fraction form
   12,586/25,719 = 25,719/x
3. Step 3: Cross multiply
   12,586x = 25,719 × 25,719
4. Step 4: Simplify right side
   12,586x = 661,466,961
5. Step 5: Solve for x
   x = 661,466,961/12,586
6. Step 6: Final answer
   x = 52,555.77