Finding the Third Proportional to 5,841.75 and 7,871.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,841.75 : 7,871.63 = 7,871.63 : x
2. Step 2: Convert to fraction form
   5,841.75/7,871.63 = 7,871.63/x
3. Step 3: Cross multiply
   5,841.75x = 7,871.63 × 7,871.63
4. Step 4: Simplify right side
   5,841.75x = 61,962,480.14
5. Step 5: Solve for x
   x = 61,962,480.14/5,841.75
6. Step 6: Final answer
   x = 10,606.84