Finding the Third Proportional to 16,480 and 35,582

Step by Step Solution

1. Step 1: Write the proportion equation
   16,480 : 35,582 = 35,582 : x
2. Step 2: Convert to fraction form
   16,480/35,582 = 35,582/x
3. Step 3: Cross multiply
   16,480x = 35,582 × 35,582
4. Step 4: Simplify right side
   16,480x = 1,266,078,724
5. Step 5: Solve for x
   x = 1,266,078,724/16,480
6. Step 6: Final answer
   x = 76,825.17