Finding the Third Proportional to 2,313.56 and 3,612.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,313.56 : 3,612.09 = 3,612.09 : x
2. Step 2: Convert to fraction form
   2,313.56/3,612.09 = 3,612.09/x
3. Step 3: Cross multiply
   2,313.56x = 3,612.09 × 3,612.09
4. Step 4: Simplify right side
   2,313.56x = 13,047,221.26
5. Step 5: Solve for x
   x = 13,047,221.26/2,313.56
6. Step 6: Final answer
   x = 5,639.45