Finding the Third Proportional to 16,378 and 34,706

Step by Step Solution

1. Step 1: Write the proportion equation
   16,378 : 34,706 = 34,706 : x
2. Step 2: Convert to fraction form
   16,378/34,706 = 34,706/x
3. Step 3: Cross multiply
   16,378x = 34,706 × 34,706
4. Step 4: Simplify right side
   16,378x = 1,204,506,436
5. Step 5: Solve for x
   x = 1,204,506,436/16,378
6. Step 6: Final answer
   x = 73,544.17