Finding the Third Proportional to 14,536 and 31,256

Step by Step Solution

1. Step 1: Write the proportion equation
   14,536 : 31,256 = 31,256 : x
2. Step 2: Convert to fraction form
   14,536/31,256 = 31,256/x
3. Step 3: Cross multiply
   14,536x = 31,256 × 31,256
4. Step 4: Simplify right side
   14,536x = 976,937,536
5. Step 5: Solve for x
   x = 976,937,536/14,536
6. Step 6: Final answer
   x = 67,208.14