Finding the Third Proportional to 25,696 and 56,049

Step by Step Solution

1. Step 1: Write the proportion equation
   25,696 : 56,049 = 56,049 : x
2. Step 2: Convert to fraction form
   25,696/56,049 = 56,049/x
3. Step 3: Cross multiply
   25,696x = 56,049 × 56,049
4. Step 4: Simplify right side
   25,696x = 3,141,490,401
5. Step 5: Solve for x
   x = 3,141,490,401/25,696
6. Step 6: Final answer
   x = 122,256.01