Finding the Third Proportional to 10,516 and 15,084

Step by Step Solution

1. Step 1: Write the proportion equation
   10,516 : 15,084 = 15,084 : x
2. Step 2: Convert to fraction form
   10,516/15,084 = 15,084/x
3. Step 3: Cross multiply
   10,516x = 15,084 × 15,084
4. Step 4: Simplify right side
   10,516x = 227,527,056
5. Step 5: Solve for x
   x = 227,527,056/10,516
6. Step 6: Final answer
   x = 21,636.27