Finding the Third Proportional to 784.69 and 2,047.78

Step by Step Solution

1. Step 1: Write the proportion equation
   784.69 : 2,047.78 = 2,047.78 : x
2. Step 2: Convert to fraction form
   784.69/2,047.78 = 2,047.78/x
3. Step 3: Cross multiply
   784.69x = 2,047.78 × 2,047.78
4. Step 4: Simplify right side
   784.69x = 4,193,408.05
5. Step 5: Solve for x
   x = 4,193,408.05/784.69
6. Step 6: Final answer
   x = 5,344.05