Finding the Third Proportional to 10,118 and 14,801

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118 : 14,801 = 14,801 : x
2. Step 2: Convert to fraction form
   10,118/14,801 = 14,801/x
3. Step 3: Cross multiply
   10,118x = 14,801 × 14,801
4. Step 4: Simplify right side
   10,118x = 219,069,601
5. Step 5: Solve for x
   x = 219,069,601/10,118
6. Step 6: Final answer
   x = 21,651.47