Finding the Third Proportional to 11,588 and 25,362

Step by Step Solution

1. Step 1: Write the proportion equation
   11,588 : 25,362 = 25,362 : x
2. Step 2: Convert to fraction form
   11,588/25,362 = 25,362/x
3. Step 3: Cross multiply
   11,588x = 25,362 × 25,362
4. Step 4: Simplify right side
   11,588x = 643,231,044
5. Step 5: Solve for x
   x = 643,231,044/11,588
6. Step 6: Final answer
   x = 55,508.37