Finding the Third Proportional to 9,409.50 and 22,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,409.50 : 22,291.50 = 22,291.50 : x
2. Step 2: Convert to fraction form
   9,409.50/22,291.50 = 22,291.50/x
3. Step 3: Cross multiply
   9,409.50x = 22,291.50 × 22,291.50
4. Step 4: Simplify right side
   9,409.50x = 496,910,972.25
5. Step 5: Solve for x
   x = 496,910,972.25/9,409.50
6. Step 6: Final answer
   x = 52,809.50