Finding the Third Proportional to 2,580.94 and 5,654.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,580.94 : 5,654.88 = 5,654.88 : x
2. Step 2: Convert to fraction form
   2,580.94/5,654.88 = 5,654.88/x
3. Step 3: Cross multiply
   2,580.94x = 5,654.88 × 5,654.88
4. Step 4: Simplify right side
   2,580.94x = 31,977,611.27
5. Step 5: Solve for x
   x = 31,977,611.27/2,580.94
6. Step 6: Final answer
   x = 12,389.92