Finding the Third Proportional to 7,662 and 13,848

Step by Step Solution

1. Step 1: Write the proportion equation
   7,662 : 13,848 = 13,848 : x
2. Step 2: Convert to fraction form
   7,662/13,848 = 13,848/x
3. Step 3: Cross multiply
   7,662x = 13,848 × 13,848
4. Step 4: Simplify right side
   7,662x = 191,767,104
5. Step 5: Solve for x
   x = 191,767,104/7,662
6. Step 6: Final answer
   x = 25,028.34