Finding the Third Proportional to 25,072 and 31,880

Step by Step Solution

1. Step 1: Write the proportion equation
   25,072 : 31,880 = 31,880 : x
2. Step 2: Convert to fraction form
   25,072/31,880 = 31,880/x
3. Step 3: Cross multiply
   25,072x = 31,880 × 31,880
4. Step 4: Simplify right side
   25,072x = 1,016,334,400
5. Step 5: Solve for x
   x = 1,016,334,400/25,072
6. Step 6: Final answer
   x = 40,536.63