Finding the Third Proportional to 13,826 and 31,138

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826 : 31,138 = 31,138 : x
2. Step 2: Convert to fraction form
   13,826/31,138 = 31,138/x
3. Step 3: Cross multiply
   13,826x = 31,138 × 31,138
4. Step 4: Simplify right side
   13,826x = 969,575,044
5. Step 5: Solve for x
   x = 969,575,044/13,826
6. Step 6: Final answer
   x = 70,126.94