Finding the Third Proportional to 7,780.50 and 17,939.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,780.50 : 17,939.25 = 17,939.25 : x
2. Step 2: Convert to fraction form
   7,780.50/17,939.25 = 17,939.25/x
3. Step 3: Cross multiply
   7,780.50x = 17,939.25 × 17,939.25
4. Step 4: Simplify right side
   7,780.50x = 321,816,690.56
5. Step 5: Solve for x
   x = 321,816,690.56/7,780.50
6. Step 6: Final answer
   x = 41,361.95