Finding the Third Proportional to 11,588 and 25,300

Step by Step Solution

1. Step 1: Write the proportion equation
   11,588 : 25,300 = 25,300 : x
2. Step 2: Convert to fraction form
   11,588/25,300 = 25,300/x
3. Step 3: Cross multiply
   11,588x = 25,300 × 25,300
4. Step 4: Simplify right side
   11,588x = 640,090,000
5. Step 5: Solve for x
   x = 640,090,000/11,588
6. Step 6: Final answer
   x = 55,237.31