Finding the Third Proportional to 1,048.06 and 1,427.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,048.06 : 1,427.19 = 1,427.19 : x
2. Step 2: Convert to fraction form
   1,048.06/1,427.19 = 1,427.19/x
3. Step 3: Cross multiply
   1,048.06x = 1,427.19 × 1,427.19
4. Step 4: Simplify right side
   1,048.06x = 2,036,864.16
5. Step 5: Solve for x
   x = 2,036,864.16/1,048.06
6. Step 6: Final answer
   x = 1,943.46