Finding the Third Proportional to 1,086.19 and 2,368.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.19 : 2,368.41 = 2,368.41 : x
2. Step 2: Convert to fraction form
   1,086.19/2,368.41 = 2,368.41/x
3. Step 3: Cross multiply
   1,086.19x = 2,368.41 × 2,368.41
4. Step 4: Simplify right side
   1,086.19x = 5,609,348.17
5. Step 5: Solve for x
   x = 5,609,348.17/1,086.19
6. Step 6: Final answer
   x = 5,164.25