Finding the Third Proportional to 9,509 and 21,518

Step by Step Solution

1. Step 1: Write the proportion equation
   9,509 : 21,518 = 21,518 : x
2. Step 2: Convert to fraction form
   9,509/21,518 = 21,518/x
3. Step 3: Cross multiply
   9,509x = 21,518 × 21,518
4. Step 4: Simplify right side
   9,509x = 463,024,324
5. Step 5: Solve for x
   x = 463,024,324/9,509
6. Step 6: Final answer
   x = 48,693.27