Finding the Third Proportional to 16,864 and 30,080

Step by Step Solution

1. Step 1: Write the proportion equation
   16,864 : 30,080 = 30,080 : x
2. Step 2: Convert to fraction form
   16,864/30,080 = 30,080/x
3. Step 3: Cross multiply
   16,864x = 30,080 × 30,080
4. Step 4: Simplify right side
   16,864x = 904,806,400
5. Step 5: Solve for x
   x = 904,806,400/16,864
6. Step 6: Final answer
   x = 53,653.13