Finding the Third Proportional to 2,056.50 and 3,185.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,056.50 : 3,185.16 = 3,185.16 : x
2. Step 2: Convert to fraction form
   2,056.50/3,185.16 = 3,185.16/x
3. Step 3: Cross multiply
   2,056.50x = 3,185.16 × 3,185.16
4. Step 4: Simplify right side
   2,056.50x = 10,145,220.34
5. Step 5: Solve for x
   x = 10,145,220.34/2,056.50
6. Step 6: Final answer
   x = 4,933.25