Finding the Third Proportional to 10,264 and 13,578

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264 : 13,578 = 13,578 : x
2. Step 2: Convert to fraction form
   10,264/13,578 = 13,578/x
3. Step 3: Cross multiply
   10,264x = 13,578 × 13,578
4. Step 4: Simplify right side
   10,264x = 184,362,084
5. Step 5: Solve for x
   x = 184,362,084/10,264
6. Step 6: Final answer
   x = 17,962.01