Finding the Third Proportional to 1,783.50 and 2,802

Step by Step Solution

1. Step 1: Write the proportion equation
   1,783.50 : 2,802 = 2,802 : x
2. Step 2: Convert to fraction form
   1,783.50/2,802 = 2,802/x
3. Step 3: Cross multiply
   1,783.50x = 2,802 × 2,802
4. Step 4: Simplify right side
   1,783.50x = 7,851,204
5. Step 5: Solve for x
   x = 7,851,204/1,783.50
6. Step 6: Final answer
   x = 4,402.13