Finding the Third Proportional to 1,609.03 and 1,777.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.03 : 1,777.78 = 1,777.78 : x
2. Step 2: Convert to fraction form
   1,609.03/1,777.78 = 1,777.78/x
3. Step 3: Cross multiply
   1,609.03x = 1,777.78 × 1,777.78
4. Step 4: Simplify right side
   1,609.03x = 3,160,506.17
5. Step 5: Solve for x
   x = 3,160,506.17/1,609.03
6. Step 6: Final answer
   x = 1,964.23