Finding the Third Proportional to 16,464 and 35,724

Step by Step Solution

1. Step 1: Write the proportion equation
   16,464 : 35,724 = 35,724 : x
2. Step 2: Convert to fraction form
   16,464/35,724 = 35,724/x
3. Step 3: Cross multiply
   16,464x = 35,724 × 35,724
4. Step 4: Simplify right side
   16,464x = 1,276,204,176
5. Step 5: Solve for x
   x = 1,276,204,176/16,464
6. Step 6: Final answer
   x = 77,514.83