Finding the Third Proportional to 25,795 and 56,512

Step by Step Solution

1. Step 1: Write the proportion equation
   25,795 : 56,512 = 56,512 : x
2. Step 2: Convert to fraction form
   25,795/56,512 = 56,512/x
3. Step 3: Cross multiply
   25,795x = 56,512 × 56,512
4. Step 4: Simplify right side
   25,795x = 3,193,606,144
5. Step 5: Solve for x
   x = 3,193,606,144/25,795
6. Step 6: Final answer
   x = 123,807.18