Finding the Third Proportional to 1,176.94 and 1,796.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,176.94 : 1,796.63 = 1,796.63 : x
2. Step 2: Convert to fraction form
   1,176.94/1,796.63 = 1,796.63/x
3. Step 3: Cross multiply
   1,176.94x = 1,796.63 × 1,796.63
4. Step 4: Simplify right side
   1,176.94x = 3,227,861.39
5. Step 5: Solve for x
   x = 3,227,861.39/1,176.94
6. Step 6: Final answer
   x = 2,742.59