Finding the Third Proportional to 8,222.34 and 17,885.81

Step by Step Solution

1. Step 1: Write the proportion equation
   8,222.34 : 17,885.81 = 17,885.81 : x
2. Step 2: Convert to fraction form
   8,222.34/17,885.81 = 17,885.81/x
3. Step 3: Cross multiply
   8,222.34x = 17,885.81 × 17,885.81
4. Step 4: Simplify right side
   8,222.34x = 319,902,288.79
5. Step 5: Solve for x
   x = 319,902,288.79/8,222.34
6. Step 6: Final answer
   x = 38,906.46