Finding the Third Proportional to 1,608.19 and 1,783.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.19 : 1,783.69 = 1,783.69 : x
2. Step 2: Convert to fraction form
   1,608.19/1,783.69 = 1,783.69/x
3. Step 3: Cross multiply
   1,608.19x = 1,783.69 × 1,783.69
4. Step 4: Simplify right side
   1,608.19x = 3,181,541.10
5. Step 5: Solve for x
   x = 3,181,541.10/1,608.19
6. Step 6: Final answer
   x = 1,978.34