Finding the Third Proportional to 13,323.75 and 22,205.25

Step by Step Solution

1. Step 1: Write the proportion equation
   13,323.75 : 22,205.25 = 22,205.25 : x
2. Step 2: Convert to fraction form
   13,323.75/22,205.25 = 22,205.25/x
3. Step 3: Cross multiply
   13,323.75x = 22,205.25 × 22,205.25
4. Step 4: Simplify right side
   13,323.75x = 493,073,127.56
5. Step 5: Solve for x
   x = 493,073,127.56/13,323.75
6. Step 6: Final answer
   x = 37,007.08