Finding the Third Proportional to 10,132 and 13,634

Step by Step Solution

1. Step 1: Write the proportion equation
   10,132 : 13,634 = 13,634 : x
2. Step 2: Convert to fraction form
   10,132/13,634 = 13,634/x
3. Step 3: Cross multiply
   10,132x = 13,634 × 13,634
4. Step 4: Simplify right side
   10,132x = 185,885,956
5. Step 5: Solve for x
   x = 185,885,956/10,132
6. Step 6: Final answer
   x = 18,346.42