Finding the Third Proportional to 8,003.81 and 17,564.34

Step by Step Solution

1. Step 1: Write the proportion equation
   8,003.81 : 17,564.34 = 17,564.34 : x
2. Step 2: Convert to fraction form
   8,003.81/17,564.34 = 17,564.34/x
3. Step 3: Cross multiply
   8,003.81x = 17,564.34 × 17,564.34
4. Step 4: Simplify right side
   8,003.81x = 308,506,171.37
5. Step 5: Solve for x
   x = 308,506,171.37/8,003.81
6. Step 6: Final answer
   x = 38,544.90