Finding the Third Proportional to 14,742 and 25,056

Step by Step Solution

1. Step 1: Write the proportion equation
   14,742 : 25,056 = 25,056 : x
2. Step 2: Convert to fraction form
   14,742/25,056 = 25,056/x
3. Step 3: Cross multiply
   14,742x = 25,056 × 25,056
4. Step 4: Simplify right side
   14,742x = 627,803,136
5. Step 5: Solve for x
   x = 627,803,136/14,742
6. Step 6: Final answer
   x = 42,586.02