Finding the Third Proportional to 14,658 and 31,064

Step by Step Solution

1. Step 1: Write the proportion equation
   14,658 : 31,064 = 31,064 : x
2. Step 2: Convert to fraction form
   14,658/31,064 = 31,064/x
3. Step 3: Cross multiply
   14,658x = 31,064 × 31,064
4. Step 4: Simplify right side
   14,658x = 964,972,096
5. Step 5: Solve for x
   x = 964,972,096/14,658
6. Step 6: Final answer
   x = 65,832.45