Finding the Third Proportional to 35,742 and 49,056

Step by Step Solution

1. Step 1: Write the proportion equation
   35,742 : 49,056 = 49,056 : x
2. Step 2: Convert to fraction form
   35,742/49,056 = 49,056/x
3. Step 3: Cross multiply
   35,742x = 49,056 × 49,056
4. Step 4: Simplify right side
   35,742x = 2,406,491,136
5. Step 5: Solve for x
   x = 2,406,491,136/35,742
6. Step 6: Final answer
   x = 67,329.50