Finding the Third Proportional to 10,801 and 14,358

Step by Step Solution

1. Step 1: Write the proportion equation
   10,801 : 14,358 = 14,358 : x
2. Step 2: Convert to fraction form
   10,801/14,358 = 14,358/x
3. Step 3: Cross multiply
   10,801x = 14,358 × 14,358
4. Step 4: Simplify right side
   10,801x = 206,152,164
5. Step 5: Solve for x
   x = 206,152,164/10,801
6. Step 6: Final answer
   x = 19,086.40