Finding the Third Proportional to 10,592 and 25,004

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592 : 25,004 = 25,004 : x
2. Step 2: Convert to fraction form
   10,592/25,004 = 25,004/x
3. Step 3: Cross multiply
   10,592x = 25,004 × 25,004
4. Step 4: Simplify right side
   10,592x = 625,200,016
5. Step 5: Solve for x
   x = 625,200,016/10,592
6. Step 6: Final answer
   x = 59,025.68