Finding the Third Proportional to 34,007 and 49,858

Step by Step Solution

1. Step 1: Write the proportion equation
   34,007 : 49,858 = 49,858 : x
2. Step 2: Convert to fraction form
   34,007/49,858 = 49,858/x
3. Step 3: Cross multiply
   34,007x = 49,858 × 49,858
4. Step 4: Simplify right side
   34,007x = 2,485,820,164
5. Step 5: Solve for x
   x = 2,485,820,164/34,007
6. Step 6: Final answer
   x = 73,097.31