Finding the Third Proportional to 7,734 and 13,932

Step by Step Solution

1. Step 1: Write the proportion equation
   7,734 : 13,932 = 13,932 : x
2. Step 2: Convert to fraction form
   7,734/13,932 = 13,932/x
3. Step 3: Cross multiply
   7,734x = 13,932 × 13,932
4. Step 4: Simplify right side
   7,734x = 194,100,624
5. Step 5: Solve for x
   x = 194,100,624/7,734
6. Step 6: Final answer
   x = 25,097.06