Finding the Third Proportional to 2,886.19 and 5,338.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,886.19 : 5,338.69 = 5,338.69 : x
2. Step 2: Convert to fraction form
   2,886.19/5,338.69 = 5,338.69/x
3. Step 3: Cross multiply
   2,886.19x = 5,338.69 × 5,338.69
4. Step 4: Simplify right side
   2,886.19x = 28,501,584.22
5. Step 5: Solve for x
   x = 28,501,584.22/2,886.19
6. Step 6: Final answer
   x = 9,875.17