Finding the Third Proportional to 10,724 and 15,038

Step by Step Solution

1. Step 1: Write the proportion equation
   10,724 : 15,038 = 15,038 : x
2. Step 2: Convert to fraction form
   10,724/15,038 = 15,038/x
3. Step 3: Cross multiply
   10,724x = 15,038 × 15,038
4. Step 4: Simplify right side
   10,724x = 226,141,444
5. Step 5: Solve for x
   x = 226,141,444/10,724
6. Step 6: Final answer
   x = 21,087.42