Finding the Third Proportional to 12,588 and 25,724

Step by Step Solution

1. Step 1: Write the proportion equation
   12,588 : 25,724 = 25,724 : x
2. Step 2: Convert to fraction form
   12,588/25,724 = 25,724/x
3. Step 3: Cross multiply
   12,588x = 25,724 × 25,724
4. Step 4: Simplify right side
   12,588x = 661,724,176
5. Step 5: Solve for x
   x = 661,724,176/12,588
6. Step 6: Final answer
   x = 52,567.86