Finding the Third Proportional to 2,684.81 and 5,880.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.81 : 5,880.94 = 5,880.94 : x
2. Step 2: Convert to fraction form
   2,684.81/5,880.94 = 5,880.94/x
3. Step 3: Cross multiply
   2,684.81x = 5,880.94 × 5,880.94
4. Step 4: Simplify right side
   2,684.81x = 34,585,425.88
5. Step 5: Solve for x
   x = 34,585,425.88/2,684.81
6. Step 6: Final answer
   x = 12,881.88