Finding the Third Proportional to 11,588 and 25,020

Step by Step Solution

1. Step 1: Write the proportion equation
   11,588 : 25,020 = 25,020 : x
2. Step 2: Convert to fraction form
   11,588/25,020 = 25,020/x
3. Step 3: Cross multiply
   11,588x = 25,020 × 25,020
4. Step 4: Simplify right side
   11,588x = 626,000,400
5. Step 5: Solve for x
   x = 626,000,400/11,588
6. Step 6: Final answer
   x = 54,021.44