Finding the Third Proportional to 2,356.50 and 3,664.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,356.50 : 3,664.13 = 3,664.13 : x
2. Step 2: Convert to fraction form
   2,356.50/3,664.13 = 3,664.13/x
3. Step 3: Cross multiply
   2,356.50x = 3,664.13 × 3,664.13
4. Step 4: Simplify right side
   2,356.50x = 13,425,812.02
5. Step 5: Solve for x
   x = 13,425,812.02/2,356.50
6. Step 6: Final answer
   x = 5,697.35