Finding the Third Proportional to 1,107.42 and 2,186.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,107.42 : 2,186.37 = 2,186.37 : x
2. Step 2: Convert to fraction form
   1,107.42/2,186.37 = 2,186.37/x
3. Step 3: Cross multiply
   1,107.42x = 2,186.37 × 2,186.37
4. Step 4: Simplify right side
   1,107.42x = 4,780,201.48
5. Step 5: Solve for x
   x = 4,780,201.48/1,107.42
6. Step 6: Final answer
   x = 4,316.51