Finding the Third Proportional to 5,869.97 and 8,736.61

Step by Step Solution

1. Step 1: Write the proportion equation
   5,869.97 : 8,736.61 = 8,736.61 : x
2. Step 2: Convert to fraction form
   5,869.97/8,736.61 = 8,736.61/x
3. Step 3: Cross multiply
   5,869.97x = 8,736.61 × 8,736.61
4. Step 4: Simplify right side
   5,869.97x = 76,328,343.37
5. Step 5: Solve for x
   x = 76,328,343.37/5,869.97
6. Step 6: Final answer
   x = 13,003.19