Finding the Third Proportional to 13,696 and 31,956

Step by Step Solution

1. Step 1: Write the proportion equation
   13,696 : 31,956 = 31,956 : x
2. Step 2: Convert to fraction form
   13,696/31,956 = 31,956/x
3. Step 3: Cross multiply
   13,696x = 31,956 × 31,956
4. Step 4: Simplify right side
   13,696x = 1,021,185,936
5. Step 5: Solve for x
   x = 1,021,185,936/13,696
6. Step 6: Final answer
   x = 74,560.89