Finding the Third Proportional to 7,699.50 and 17,963.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,699.50 : 17,963.25 = 17,963.25 : x
2. Step 2: Convert to fraction form
   7,699.50/17,963.25 = 17,963.25/x
3. Step 3: Cross multiply
   7,699.50x = 17,963.25 × 17,963.25
4. Step 4: Simplify right side
   7,699.50x = 322,678,350.56
5. Step 5: Solve for x
   x = 322,678,350.56/7,699.50
6. Step 6: Final answer
   x = 41,909.00