Finding the Third Proportional to 10,381 and 13,627

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381 : 13,627 = 13,627 : x
2. Step 2: Convert to fraction form
   10,381/13,627 = 13,627/x
3. Step 3: Cross multiply
   10,381x = 13,627 × 13,627
4. Step 4: Simplify right side
   10,381x = 185,695,129
5. Step 5: Solve for x
   x = 185,695,129/10,381
6. Step 6: Final answer
   x = 17,887.98