Finding the Third Proportional to 1,407.80 and 1,995.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,407.80 : 1,995.05 = 1,995.05 : x
2. Step 2: Convert to fraction form
   1,407.80/1,995.05 = 1,995.05/x
3. Step 3: Cross multiply
   1,407.80x = 1,995.05 × 1,995.05
4. Step 4: Simplify right side
   1,407.80x = 3,980,212.03
5. Step 5: Solve for x
   x = 3,980,212.03/1,407.80
6. Step 6: Final answer
   x = 2,827.26