Finding the Third Proportional to 10,510 and 15,077

Step by Step Solution

1. Step 1: Write the proportion equation
   10,510 : 15,077 = 15,077 : x
2. Step 2: Convert to fraction form
   10,510/15,077 = 15,077/x
3. Step 3: Cross multiply
   10,510x = 15,077 × 15,077
4. Step 4: Simplify right side
   10,510x = 227,315,929
5. Step 5: Solve for x
   x = 227,315,929/10,510
6. Step 6: Final answer
   x = 21,628.54