Finding the Third Proportional to 11,740 and 25,508

Step by Step Solution

1. Step 1: Write the proportion equation
   11,740 : 25,508 = 25,508 : x
2. Step 2: Convert to fraction form
   11,740/25,508 = 25,508/x
3. Step 3: Cross multiply
   11,740x = 25,508 × 25,508
4. Step 4: Simplify right side
   11,740x = 650,658,064
5. Step 5: Solve for x
   x = 650,658,064/11,740
6. Step 6: Final answer
   x = 55,422.32