Finding the Third Proportional to 784.69 and 2,103.47

Step by Step Solution

1. Step 1: Write the proportion equation
   784.69 : 2,103.47 = 2,103.47 : x
2. Step 2: Convert to fraction form
   784.69/2,103.47 = 2,103.47/x
3. Step 3: Cross multiply
   784.69x = 2,103.47 × 2,103.47
4. Step 4: Simplify right side
   784.69x = 4,424,580.78
5. Step 5: Solve for x
   x = 4,424,580.78/784.69
6. Step 6: Final answer
   x = 5,638.65