Finding the Third Proportional to 8,623.97 and 10,585.69

Step by Step Solution

1. Step 1: Write the proportion equation
   8,623.97 : 10,585.69 = 10,585.69 : x
2. Step 2: Convert to fraction form
   8,623.97/10,585.69 = 10,585.69/x
3. Step 3: Cross multiply
   8,623.97x = 10,585.69 × 10,585.69
4. Step 4: Simplify right side
   8,623.97x = 112,056,779.85
5. Step 5: Solve for x
   x = 112,056,779.85/8,623.97
6. Step 6: Final answer
   x = 12,993.64