Finding the Third Proportional to 2,585.67 and 5,608.93

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.67 : 5,608.93 = 5,608.93 : x
2. Step 2: Convert to fraction form
   2,585.67/5,608.93 = 5,608.93/x
3. Step 3: Cross multiply
   2,585.67x = 5,608.93 × 5,608.93
4. Step 4: Simplify right side
   2,585.67x = 31,460,136.06
5. Step 5: Solve for x
   x = 31,460,136.06/2,585.67
6. Step 6: Final answer
   x = 12,167.10