Finding the Third Proportional to 16,464 and 35,684

Step by Step Solution

1. Step 1: Write the proportion equation
   16,464 : 35,684 = 35,684 : x
2. Step 2: Convert to fraction form
   16,464/35,684 = 35,684/x
3. Step 3: Cross multiply
   16,464x = 35,684 × 35,684
4. Step 4: Simplify right side
   16,464x = 1,273,347,856
5. Step 5: Solve for x
   x = 1,273,347,856/16,464
6. Step 6: Final answer
   x = 77,341.34