Finding the Third Proportional to 2,562.75 and 5,905.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.75 : 5,905.13 = 5,905.13 : x
2. Step 2: Convert to fraction form
   2,562.75/5,905.13 = 5,905.13/x
3. Step 3: Cross multiply
   2,562.75x = 5,905.13 × 5,905.13
4. Step 4: Simplify right side
   2,562.75x = 34,870,501.27
5. Step 5: Solve for x
   x = 34,870,501.27/2,562.75
6. Step 6: Final answer
   x = 13,606.67