Finding the Third Proportional to 8,189.50 and 17,877.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,189.50 : 17,877.75 = 17,877.75 : x
2. Step 2: Convert to fraction form
   8,189.50/17,877.75 = 17,877.75/x
3. Step 3: Cross multiply
   8,189.50x = 17,877.75 × 17,877.75
4. Step 4: Simplify right side
   8,189.50x = 319,613,945.06
5. Step 5: Solve for x
   x = 319,613,945.06/8,189.50
6. Step 6: Final answer
   x = 39,027.28