Finding the Third Proportional to 8,191.88 and 17,770.88

Step by Step Solution

1. Step 1: Write the proportion equation
   8,191.88 : 17,770.88 = 17,770.88 : x
2. Step 2: Convert to fraction form
   8,191.88/17,770.88 = 17,770.88/x
3. Step 3: Cross multiply
   8,191.88x = 17,770.88 × 17,770.88
4. Step 4: Simplify right side
   8,191.88x = 315,803,998.27
5. Step 5: Solve for x
   x = 315,803,998.27/8,191.88
6. Step 6: Final answer
   x = 38,550.88