Finding the Third Proportional to 2,188.69 and 4,696.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188.69 : 4,696.31 = 4,696.31 : x
2. Step 2: Convert to fraction form
   2,188.69/4,696.31 = 4,696.31/x
3. Step 3: Cross multiply
   2,188.69x = 4,696.31 × 4,696.31
4. Step 4: Simplify right side
   2,188.69x = 22,055,351.10
5. Step 5: Solve for x
   x = 22,055,351.10/2,188.69
6. Step 6: Final answer
   x = 10,076.98