Finding the Third Proportional to 13,886 and 31,258

Step by Step Solution

1. Step 1: Write the proportion equation
   13,886 : 31,258 = 31,258 : x
2. Step 2: Convert to fraction form
   13,886/31,258 = 31,258/x
3. Step 3: Cross multiply
   13,886x = 31,258 × 31,258
4. Step 4: Simplify right side
   13,886x = 977,062,564
5. Step 5: Solve for x
   x = 977,062,564/13,886
6. Step 6: Final answer
   x = 70,363.14