Finding the Third Proportional to 2,505.94 and 5,416.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.94 : 5,416.88 = 5,416.88 : x
2. Step 2: Convert to fraction form
   2,505.94/5,416.88 = 5,416.88/x
3. Step 3: Cross multiply
   2,505.94x = 5,416.88 × 5,416.88
4. Step 4: Simplify right side
   2,505.94x = 29,342,534.77
5. Step 5: Solve for x
   x = 29,342,534.77/2,505.94
6. Step 6: Final answer
   x = 11,709.20