Finding the Third Proportional to 13,696 and 31,990

Step by Step Solution

1. Step 1: Write the proportion equation
   13,696 : 31,990 = 31,990 : x
2. Step 2: Convert to fraction form
   13,696/31,990 = 31,990/x
3. Step 3: Cross multiply
   13,696x = 31,990 × 31,990
4. Step 4: Simplify right side
   13,696x = 1,023,360,100
5. Step 5: Solve for x
   x = 1,023,360,100/13,696
6. Step 6: Final answer
   x = 74,719.63