Finding the Third Proportional to 7,700.50 and 17,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,700.50 : 17,966.50 = 17,966.50 : x
2. Step 2: Convert to fraction form
   7,700.50/17,966.50 = 17,966.50/x
3. Step 3: Cross multiply
   7,700.50x = 17,966.50 × 17,966.50
4. Step 4: Simplify right side
   7,700.50x = 322,795,122.25
5. Step 5: Solve for x
   x = 322,795,122.25/7,700.50
6. Step 6: Final answer
   x = 41,918.72