Finding the Third Proportional to 1,095.64 and 2,364.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,095.64 : 2,364.27 = 2,364.27 : x
2. Step 2: Convert to fraction form
   1,095.64/2,364.27 = 2,364.27/x
3. Step 3: Cross multiply
   1,095.64x = 2,364.27 × 2,364.27
4. Step 4: Simplify right side
   1,095.64x = 5,589,756.56
5. Step 5: Solve for x
   x = 5,589,756.56/1,095.64
6. Step 6: Final answer
   x = 5,101.84