Finding the Third Proportional to 10,513 and 16,280

Step by Step Solution

1. Step 1: Write the proportion equation
   10,513 : 16,280 = 16,280 : x
2. Step 2: Convert to fraction form
   10,513/16,280 = 16,280/x
3. Step 3: Cross multiply
   10,513x = 16,280 × 16,280
4. Step 4: Simplify right side
   10,513x = 265,038,400
5. Step 5: Solve for x
   x = 265,038,400/10,513
6. Step 6: Final answer
   x = 25,210.54