Finding the Third Proportional to 1,412.72 and 1,618.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.72 : 1,618.03 = 1,618.03 : x
2. Step 2: Convert to fraction form
   1,412.72/1,618.03 = 1,618.03/x
3. Step 3: Cross multiply
   1,412.72x = 1,618.03 × 1,618.03
4. Step 4: Simplify right side
   1,412.72x = 2,618,025.13
5. Step 5: Solve for x
   x = 2,618,025.13/1,412.72
6. Step 6: Final answer
   x = 1,853.18