Finding the Third Proportional to 16,368 and 35,678

Step by Step Solution

1. Step 1: Write the proportion equation
   16,368 : 35,678 = 35,678 : x
2. Step 2: Convert to fraction form
   16,368/35,678 = 35,678/x
3. Step 3: Cross multiply
   16,368x = 35,678 × 35,678
4. Step 4: Simplify right side
   16,368x = 1,272,919,684
5. Step 5: Solve for x
   x = 1,272,919,684/16,368
6. Step 6: Final answer
   x = 77,768.80