Finding the Third Proportional to 2,386.97 and 5,225.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,386.97 : 5,225.77 = 5,225.77 : x
2. Step 2: Convert to fraction form
   2,386.97/5,225.77 = 5,225.77/x
3. Step 3: Cross multiply
   2,386.97x = 5,225.77 × 5,225.77
4. Step 4: Simplify right side
   2,386.97x = 27,308,626.37
5. Step 5: Solve for x
   x = 27,308,626.37/2,386.97
6. Step 6: Final answer
   x = 11,440.71