Finding the Third Proportional to 1,365.19 and 2,046.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.19 : 2,046.09 = 2,046.09 : x
2. Step 2: Convert to fraction form
   1,365.19/2,046.09 = 2,046.09/x
3. Step 3: Cross multiply
   1,365.19x = 2,046.09 × 2,046.09
4. Step 4: Simplify right side
   1,365.19x = 4,186,499.63
5. Step 5: Solve for x
   x = 4,186,499.63/1,365.19
6. Step 6: Final answer
   x = 3,066.61