Finding the Third Proportional to 3,034.50 and 5,643.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,034.50 : 5,643.75 = 5,643.75 : x
2. Step 2: Convert to fraction form
   3,034.50/5,643.75 = 5,643.75/x
3. Step 3: Cross multiply
   3,034.50x = 5,643.75 × 5,643.75
4. Step 4: Simplify right side
   3,034.50x = 31,851,914.06
5. Step 5: Solve for x
   x = 31,851,914.06/3,034.50
6. Step 6: Final answer
   x = 10,496.59