Finding the Third Proportional to 5,005.75 and 13,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,005.75 : 13,467.50 = 13,467.50 : x
2. Step 2: Convert to fraction form
   5,005.75/13,467.50 = 13,467.50/x
3. Step 3: Cross multiply
   5,005.75x = 13,467.50 × 13,467.50
4. Step 4: Simplify right side
   5,005.75x = 181,373,556.25
5. Step 5: Solve for x
   x = 181,373,556.25/5,005.75
6. Step 6: Final answer
   x = 36,233.04