Finding the Third Proportional to 11,776 and 25,740

Step by Step Solution

1. Step 1: Write the proportion equation
   11,776 : 25,740 = 25,740 : x
2. Step 2: Convert to fraction form
   11,776/25,740 = 25,740/x
3. Step 3: Cross multiply
   11,776x = 25,740 × 25,740
4. Step 4: Simplify right side
   11,776x = 662,547,600
5. Step 5: Solve for x
   x = 662,547,600/11,776
6. Step 6: Final answer
   x = 56,262.53