Finding the Third Proportional to 8,204.50 and 17,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,204.50 : 17,781.50 = 17,781.50 : x
2. Step 2: Convert to fraction form
   8,204.50/17,781.50 = 17,781.50/x
3. Step 3: Cross multiply
   8,204.50x = 17,781.50 × 17,781.50
4. Step 4: Simplify right side
   8,204.50x = 316,181,742.25
5. Step 5: Solve for x
   x = 316,181,742.25/8,204.50
6. Step 6: Final answer
   x = 38,537.60