Finding the Third Proportional to 13,640 and 31,876

Step by Step Solution

1. Step 1: Write the proportion equation
   13,640 : 31,876 = 31,876 : x
2. Step 2: Convert to fraction form
   13,640/31,876 = 31,876/x
3. Step 3: Cross multiply
   13,640x = 31,876 × 31,876
4. Step 4: Simplify right side
   13,640x = 1,016,079,376
5. Step 5: Solve for x
   x = 1,016,079,376/13,640
6. Step 6: Final answer
   x = 74,492.62