Finding the Third Proportional to 2,316.38 and 3,583.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,316.38 : 3,583.69 = 3,583.69 : x
2. Step 2: Convert to fraction form
   2,316.38/3,583.69 = 3,583.69/x
3. Step 3: Cross multiply
   2,316.38x = 3,583.69 × 3,583.69
4. Step 4: Simplify right side
   2,316.38x = 12,842,816.10
5. Step 5: Solve for x
   x = 12,842,816.10/2,316.38
6. Step 6: Final answer
   x = 5,544.36