Finding the Third Proportional to 2,529.75 and 5,159.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,529.75 : 5,159.88 = 5,159.88 : x
2. Step 2: Convert to fraction form
   2,529.75/5,159.88 = 5,159.88/x
3. Step 3: Cross multiply
   2,529.75x = 5,159.88 × 5,159.88
4. Step 4: Simplify right side
   2,529.75x = 26,624,310.02
5. Step 5: Solve for x
   x = 26,624,310.02/2,529.75
6. Step 6: Final answer
   x = 10,524.48