Finding the Third Proportional to 1,180.50 and 2,769.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.50 : 2,769.38 = 2,769.38 : x
2. Step 2: Convert to fraction form
   1,180.50/2,769.38 = 2,769.38/x
3. Step 3: Cross multiply
   1,180.50x = 2,769.38 × 2,769.38
4. Step 4: Simplify right side
   1,180.50x = 7,669,437.89
5. Step 5: Solve for x
   x = 7,669,437.89/1,180.50
6. Step 6: Final answer
   x = 6,496.77