Finding the Third Proportional to 10,200 and 15,494

Step by Step Solution

1. Step 1: Write the proportion equation
   10,200 : 15,494 = 15,494 : x
2. Step 2: Convert to fraction form
   10,200/15,494 = 15,494/x
3. Step 3: Cross multiply
   10,200x = 15,494 × 15,494
4. Step 4: Simplify right side
   10,200x = 240,064,036
5. Step 5: Solve for x
   x = 240,064,036/10,200
6. Step 6: Final answer
   x = 23,535.69