Finding the Third Proportional to 16,464 and 34,980

Step by Step Solution

1. Step 1: Write the proportion equation
   16,464 : 34,980 = 34,980 : x
2. Step 2: Convert to fraction form
   16,464/34,980 = 34,980/x
3. Step 3: Cross multiply
   16,464x = 34,980 × 34,980
4. Step 4: Simplify right side
   16,464x = 1,223,600,400
5. Step 5: Solve for x
   x = 1,223,600,400/16,464
6. Step 6: Final answer
   x = 74,319.75