Finding the Third Proportional to 11,880 and 25,966

Step by Step Solution

1. Step 1: Write the proportion equation
   11,880 : 25,966 = 25,966 : x
2. Step 2: Convert to fraction form
   11,880/25,966 = 25,966/x
3. Step 3: Cross multiply
   11,880x = 25,966 × 25,966
4. Step 4: Simplify right side
   11,880x = 674,233,156
5. Step 5: Solve for x
   x = 674,233,156/11,880
6. Step 6: Final answer
   x = 56,753.63