Finding the Third Proportional to 25,760 and 56,434

Step by Step Solution

1. Step 1: Write the proportion equation
   25,760 : 56,434 = 56,434 : x
2. Step 2: Convert to fraction form
   25,760/56,434 = 56,434/x
3. Step 3: Cross multiply
   25,760x = 56,434 × 56,434
4. Step 4: Simplify right side
   25,760x = 3,184,796,356
5. Step 5: Solve for x
   x = 3,184,796,356/25,760
6. Step 6: Final answer
   x = 123,633.40