Finding the Third Proportional to 34,340 and 49,016

Step by Step Solution

1. Step 1: Write the proportion equation
   34,340 : 49,016 = 49,016 : x
2. Step 2: Convert to fraction form
   34,340/49,016 = 49,016/x
3. Step 3: Cross multiply
   34,340x = 49,016 × 49,016
4. Step 4: Simplify right side
   34,340x = 2,402,568,256
5. Step 5: Solve for x
   x = 2,402,568,256/34,340
6. Step 6: Final answer
   x = 69,964.13