Finding the Third Proportional to 13,732 and 31,738

Step by Step Solution

1. Step 1: Write the proportion equation
   13,732 : 31,738 = 31,738 : x
2. Step 2: Convert to fraction form
   13,732/31,738 = 31,738/x
3. Step 3: Cross multiply
   13,732x = 31,738 × 31,738
4. Step 4: Simplify right side
   13,732x = 1,007,300,644
5. Step 5: Solve for x
   x = 1,007,300,644/13,732
6. Step 6: Final answer
   x = 73,354.26