Finding the Third Proportional to 3,457.69 and 7,583.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,457.69 : 7,583.63 = 7,583.63 : x
2. Step 2: Convert to fraction form
   3,457.69/7,583.63 = 7,583.63/x
3. Step 3: Cross multiply
   3,457.69x = 7,583.63 × 7,583.63
4. Step 4: Simplify right side
   3,457.69x = 57,511,368.14
5. Step 5: Solve for x
   x = 57,511,368.14/3,457.69
6. Step 6: Final answer
   x = 16,632.90