Finding the Third Proportional to 6,109.50 and 12,585

Step by Step Solution

1. Step 1: Write the proportion equation
   6,109.50 : 12,585 = 12,585 : x
2. Step 2: Convert to fraction form
   6,109.50/12,585 = 12,585/x
3. Step 3: Cross multiply
   6,109.50x = 12,585 × 12,585
4. Step 4: Simplify right side
   6,109.50x = 158,382,225
5. Step 5: Solve for x
   x = 158,382,225/6,109.50
6. Step 6: Final answer
   x = 25,923.93