Finding the Third Proportional to 1,769.50 and 1,918

Step by Step Solution

1. Step 1: Write the proportion equation
   1,769.50 : 1,918 = 1,918 : x
2. Step 2: Convert to fraction form
   1,769.50/1,918 = 1,918/x
3. Step 3: Cross multiply
   1,769.50x = 1,918 × 1,918
4. Step 4: Simplify right side
   1,769.50x = 3,678,724
5. Step 5: Solve for x
   x = 3,678,724/1,769.50
6. Step 6: Final answer
   x = 2,078.96