Finding the Third Proportional to 23,600 and 35,582

Step by Step Solution

1. Step 1: Write the proportion equation
   23,600 : 35,582 = 35,582 : x
2. Step 2: Convert to fraction form
   23,600/35,582 = 35,582/x
3. Step 3: Cross multiply
   23,600x = 35,582 × 35,582
4. Step 4: Simplify right side
   23,600x = 1,266,078,724
5. Step 5: Solve for x
   x = 1,266,078,724/23,600
6. Step 6: Final answer
   x = 53,647.40