Finding the Third Proportional to 12,181.50 and 20,004.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,181.50 : 20,004.75 = 20,004.75 : x
2. Step 2: Convert to fraction form
   12,181.50/20,004.75 = 20,004.75/x
3. Step 3: Cross multiply
   12,181.50x = 20,004.75 × 20,004.75
4. Step 4: Simplify right side
   12,181.50x = 400,190,022.56
5. Step 5: Solve for x
   x = 400,190,022.56/12,181.50
6. Step 6: Final answer
   x = 32,852.28