Finding the Third Proportional to 11,405 and 25,740

Step by Step Solution

1. Step 1: Write the proportion equation
   11,405 : 25,740 = 25,740 : x
2. Step 2: Convert to fraction form
   11,405/25,740 = 25,740/x
3. Step 3: Cross multiply
   11,405x = 25,740 × 25,740
4. Step 4: Simplify right side
   11,405x = 662,547,600
5. Step 5: Solve for x
   x = 662,547,600/11,405
6. Step 6: Final answer
   x = 58,092.73