Finding the Third Proportional to 5,837.75 and 7,865.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,837.75 : 7,865.50 = 7,865.50 : x
2. Step 2: Convert to fraction form
   5,837.75/7,865.50 = 7,865.50/x
3. Step 3: Cross multiply
   5,837.75x = 7,865.50 × 7,865.50
4. Step 4: Simplify right side
   5,837.75x = 61,866,090.25
5. Step 5: Solve for x
   x = 61,866,090.25/5,837.75
6. Step 6: Final answer
   x = 10,597.59