Finding the Third Proportional to 1,777.69 and 2,742.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,777.69 : 2,742.56 = 2,742.56 : x
2. Step 2: Convert to fraction form
   1,777.69/2,742.56 = 2,742.56/x
3. Step 3: Cross multiply
   1,777.69x = 2,742.56 × 2,742.56
4. Step 4: Simplify right side
   1,777.69x = 7,521,649.07
5. Step 5: Solve for x
   x = 7,521,649.07/1,777.69
6. Step 6: Final answer
   x = 4,231.14