Finding the Third Proportional to 9,729 and 15,426

Step by Step Solution

1. Step 1: Write the proportion equation
   9,729 : 15,426 = 15,426 : x
2. Step 2: Convert to fraction form
   9,729/15,426 = 15,426/x
3. Step 3: Cross multiply
   9,729x = 15,426 × 15,426
4. Step 4: Simplify right side
   9,729x = 237,961,476
5. Step 5: Solve for x
   x = 237,961,476/9,729
6. Step 6: Final answer
   x = 24,458.99