Finding the Third Proportional to 5,833.13 and 7,858.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,833.13 : 7,858.69 = 7,858.69 : x
2. Step 2: Convert to fraction form
   5,833.13/7,858.69 = 7,858.69/x
3. Step 3: Cross multiply
   5,833.13x = 7,858.69 × 7,858.69
4. Step 4: Simplify right side
   5,833.13x = 61,758,969.22
5. Step 5: Solve for x
   x = 61,758,969.22/5,833.13
6. Step 6: Final answer
   x = 10,587.63