Finding the Third Proportional to 9,724 and 13,132

Step by Step Solution

1. Step 1: Write the proportion equation
   9,724 : 13,132 = 13,132 : x
2. Step 2: Convert to fraction form
   9,724/13,132 = 13,132/x
3. Step 3: Cross multiply
   9,724x = 13,132 × 13,132
4. Step 4: Simplify right side
   9,724x = 172,449,424
5. Step 5: Solve for x
   x = 172,449,424/9,724
6. Step 6: Final answer
   x = 17,734.41