Finding the Third Proportional to 10,085.50 and 16,020

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.50 : 16,020 = 16,020 : x
2. Step 2: Convert to fraction form
   10,085.50/16,020 = 16,020/x
3. Step 3: Cross multiply
   10,085.50x = 16,020 × 16,020
4. Step 4: Simplify right side
   10,085.50x = 256,640,400
5. Step 5: Solve for x
   x = 256,640,400/10,085.50
6. Step 6: Final answer
   x = 25,446.47