Finding the Third Proportional to 1,783.69 and 2,837.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,783.69 : 2,837.53 = 2,837.53 : x
2. Step 2: Convert to fraction form
   1,783.69/2,837.53 = 2,837.53/x
3. Step 3: Cross multiply
   1,783.69x = 2,837.53 × 2,837.53
4. Step 4: Simplify right side
   1,783.69x = 8,051,583.59
5. Step 5: Solve for x
   x = 8,051,583.59/1,783.69
6. Step 6: Final answer
   x = 4,514.01