Finding the Third Proportional to 16,464 and 34,976

Step by Step Solution

1. Step 1: Write the proportion equation
   16,464 : 34,976 = 34,976 : x
2. Step 2: Convert to fraction form
   16,464/34,976 = 34,976/x
3. Step 3: Cross multiply
   16,464x = 34,976 × 34,976
4. Step 4: Simplify right side
   16,464x = 1,223,320,576
5. Step 5: Solve for x
   x = 1,223,320,576/16,464
6. Step 6: Final answer
   x = 74,302.76