Finding the Third Proportional to 10,209 and 15,774

Step by Step Solution

1. Step 1: Write the proportion equation
   10,209 : 15,774 = 15,774 : x
2. Step 2: Convert to fraction form
   10,209/15,774 = 15,774/x
3. Step 3: Cross multiply
   10,209x = 15,774 × 15,774
4. Step 4: Simplify right side
   10,209x = 248,819,076
5. Step 5: Solve for x
   x = 248,819,076/10,209
6. Step 6: Final answer
   x = 24,372.52