Finding the Third Proportional to 14,456 and 31,672

Step by Step Solution

1. Step 1: Write the proportion equation
   14,456 : 31,672 = 31,672 : x
2. Step 2: Convert to fraction form
   14,456/31,672 = 31,672/x
3. Step 3: Cross multiply
   14,456x = 31,672 × 31,672
4. Step 4: Simplify right side
   14,456x = 1,003,115,584
5. Step 5: Solve for x
   x = 1,003,115,584/14,456
6. Step 6: Final answer
   x = 69,390.95