Finding the Third Proportional to 13,627 and 31,845

Step by Step Solution

1. Step 1: Write the proportion equation
   13,627 : 31,845 = 31,845 : x
2. Step 2: Convert to fraction form
   13,627/31,845 = 31,845/x
3. Step 3: Cross multiply
   13,627x = 31,845 × 31,845
4. Step 4: Simplify right side
   13,627x = 1,014,104,025
5. Step 5: Solve for x
   x = 1,014,104,025/13,627
6. Step 6: Final answer
   x = 74,418.73