Finding the Third Proportional to 4,646 and 10,142

Step by Step Solution

1. Step 1: Write the proportion equation
   4,646 : 10,142 = 10,142 : x
2. Step 2: Convert to fraction form
   4,646/10,142 = 10,142/x
3. Step 3: Cross multiply
   4,646x = 10,142 × 10,142
4. Step 4: Simplify right side
   4,646x = 102,860,164
5. Step 5: Solve for x
   x = 102,860,164/4,646
6. Step 6: Final answer
   x = 22,139.51