Finding the Third Proportional to 9,292 and 13,627

Step by Step Solution

1. Step 1: Write the proportion equation
   9,292 : 13,627 = 13,627 : x
2. Step 2: Convert to fraction form
   9,292/13,627 = 13,627/x
3. Step 3: Cross multiply
   9,292x = 13,627 × 13,627
4. Step 4: Simplify right side
   9,292x = 185,695,129
5. Step 5: Solve for x
   x = 185,695,129/9,292
6. Step 6: Final answer
   x = 19,984.41