Finding the Third Proportional to 25,754 and 56,429

Step by Step Solution

1. Step 1: Write the proportion equation
   25,754 : 56,429 = 56,429 : x
2. Step 2: Convert to fraction form
   25,754/56,429 = 56,429/x
3. Step 3: Cross multiply
   25,754x = 56,429 × 56,429
4. Step 4: Simplify right side
   25,754x = 3,184,232,041
5. Step 5: Solve for x
   x = 3,184,232,041/25,754
6. Step 6: Final answer
   x = 123,640.29