Finding the Third Proportional to 25,742 and 56,492

Step by Step Solution

1. Step 1: Write the proportion equation
   25,742 : 56,492 = 56,492 : x
2. Step 2: Convert to fraction form
   25,742/56,492 = 56,492/x
3. Step 3: Cross multiply
   25,742x = 56,492 × 56,492
4. Step 4: Simplify right side
   25,742x = 3,191,346,064
5. Step 5: Solve for x
   x = 3,191,346,064/25,742
6. Step 6: Final answer
   x = 123,974.29