Finding the Third Proportional to 14,702 and 31,456

Step by Step Solution

1. Step 1: Write the proportion equation
   14,702 : 31,456 = 31,456 : x
2. Step 2: Convert to fraction form
   14,702/31,456 = 31,456/x
3. Step 3: Cross multiply
   14,702x = 31,456 × 31,456
4. Step 4: Simplify right side
   14,702x = 989,479,936
5. Step 5: Solve for x
   x = 989,479,936/14,702
6. Step 6: Final answer
   x = 67,302.40