Finding the Third Proportional to 16,225 and 34,878

Step by Step Solution

1. Step 1: Write the proportion equation
   16,225 : 34,878 = 34,878 : x
2. Step 2: Convert to fraction form
   16,225/34,878 = 34,878/x
3. Step 3: Cross multiply
   16,225x = 34,878 × 34,878
4. Step 4: Simplify right side
   16,225x = 1,216,474,884
5. Step 5: Solve for x
   x = 1,216,474,884/16,225
6. Step 6: Final answer
   x = 74,975.34