Finding the Third Proportional to 1,776.94 and 4,132.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.94 : 4,132.69 = 4,132.69 : x
2. Step 2: Convert to fraction form
   1,776.94/4,132.69 = 4,132.69/x
3. Step 3: Cross multiply
   1,776.94x = 4,132.69 × 4,132.69
4. Step 4: Simplify right side
   1,776.94x = 17,079,105.97
5. Step 5: Solve for x
   x = 17,079,105.97/1,776.94
6. Step 6: Final answer
   x = 9,611.54