Finding the Third Proportional to 2,323.69 and 4,886.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,323.69 : 4,886.58 = 4,886.58 : x
2. Step 2: Convert to fraction form
   2,323.69/4,886.58 = 4,886.58/x
3. Step 3: Cross multiply
   2,323.69x = 4,886.58 × 4,886.58
4. Step 4: Simplify right side
   2,323.69x = 23,878,645.77
5. Step 5: Solve for x
   x = 23,878,645.77/2,323.69
6. Step 6: Final answer
   x = 10,276.19