Finding the Third Proportional to 13,669.50 and 22,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,669.50 : 22,321.50 = 22,321.50 : x
2. Step 2: Convert to fraction form
   13,669.50/22,321.50 = 22,321.50/x
3. Step 3: Cross multiply
   13,669.50x = 22,321.50 × 22,321.50
4. Step 4: Simplify right side
   13,669.50x = 498,249,362.25
5. Step 5: Solve for x
   x = 498,249,362.25/13,669.50
6. Step 6: Final answer
   x = 36,449.71