Finding the Third Proportional to 13,688 and 31,936

Step by Step Solution

1. Step 1: Write the proportion equation
   13,688 : 31,936 = 31,936 : x
2. Step 2: Convert to fraction form
   13,688/31,936 = 31,936/x
3. Step 3: Cross multiply
   13,688x = 31,936 × 31,936
4. Step 4: Simplify right side
   13,688x = 1,019,908,096
5. Step 5: Solve for x
   x = 1,019,908,096/13,688
6. Step 6: Final answer
   x = 74,511.11