Finding the Third Proportional to 9,509 and 21,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,509 : 21,858.50 = 21,858.50 : x
2. Step 2: Convert to fraction form
   9,509/21,858.50 = 21,858.50/x
3. Step 3: Cross multiply
   9,509x = 21,858.50 × 21,858.50
4. Step 4: Simplify right side
   9,509x = 477,794,022.25
5. Step 5: Solve for x
   x = 477,794,022.25/9,509
6. Step 6: Final answer
   x = 50,246.51