Finding the Third Proportional to 10,084 and 17,990

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084 : 17,990 = 17,990 : x
2. Step 2: Convert to fraction form
   10,084/17,990 = 17,990/x
3. Step 3: Cross multiply
   10,084x = 17,990 × 17,990
4. Step 4: Simplify right side
   10,084x = 323,640,100
5. Step 5: Solve for x
   x = 323,640,100/10,084
6. Step 6: Final answer
   x = 32,094.42