Finding the Third Proportional to 2,561.48 and 3,916.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.48 : 3,916.62 = 3,916.62 : x
2. Step 2: Convert to fraction form
   2,561.48/3,916.62 = 3,916.62/x
3. Step 3: Cross multiply
   2,561.48x = 3,916.62 × 3,916.62
4. Step 4: Simplify right side
   2,561.48x = 15,339,890.19
5. Step 5: Solve for x
   x = 15,339,890.19/2,561.48
6. Step 6: Final answer
   x = 5,988.67