Finding the Third Proportional to 17,878 and 34,132

Step by Step Solution

1. Step 1: Write the proportion equation
   17,878 : 34,132 = 34,132 : x
2. Step 2: Convert to fraction form
   17,878/34,132 = 34,132/x
3. Step 3: Cross multiply
   17,878x = 34,132 × 34,132
4. Step 4: Simplify right side
   17,878x = 1,164,993,424
5. Step 5: Solve for x
   x = 1,164,993,424/17,878
6. Step 6: Final answer
   x = 65,163.52