Finding the Third Proportional to 9,731 and 15,429

Step by Step Solution

1. Step 1: Write the proportion equation
   9,731 : 15,429 = 15,429 : x
2. Step 2: Convert to fraction form
   9,731/15,429 = 15,429/x
3. Step 3: Cross multiply
   9,731x = 15,429 × 15,429
4. Step 4: Simplify right side
   9,731x = 238,054,041
5. Step 5: Solve for x
   x = 238,054,041/9,731
6. Step 6: Final answer
   x = 24,463.47