Finding the Third Proportional to 4,725.56 and 7,147.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,725.56 : 7,147.69 = 7,147.69 : x
2. Step 2: Convert to fraction form
   4,725.56/7,147.69 = 7,147.69/x
3. Step 3: Cross multiply
   4,725.56x = 7,147.69 × 7,147.69
4. Step 4: Simplify right side
   4,725.56x = 51,089,436.60
5. Step 5: Solve for x
   x = 51,089,436.60/4,725.56
6. Step 6: Final answer
   x = 10,811.29