Finding the Third Proportional to 4,738 and 10,099

Step by Step Solution

1. Step 1: Write the proportion equation
   4,738 : 10,099 = 10,099 : x
2. Step 2: Convert to fraction form
   4,738/10,099 = 10,099/x
3. Step 3: Cross multiply
   4,738x = 10,099 × 10,099
4. Step 4: Simplify right side
   4,738x = 101,989,801
5. Step 5: Solve for x
   x = 101,989,801/4,738
6. Step 6: Final answer
   x = 21,525.92