Finding the Third Proportional to 4,642 and 10,074

Step by Step Solution

1. Step 1: Write the proportion equation
   4,642 : 10,074 = 10,074 : x
2. Step 2: Convert to fraction form
   4,642/10,074 = 10,074/x
3. Step 3: Cross multiply
   4,642x = 10,074 × 10,074
4. Step 4: Simplify right side
   4,642x = 101,485,476
5. Step 5: Solve for x
   x = 101,485,476/4,642
6. Step 6: Final answer
   x = 21,862.45