Finding the Third Proportional to 34,335 and 49,006

Step by Step Solution

1. Step 1: Write the proportion equation
   34,335 : 49,006 = 49,006 : x
2. Step 2: Convert to fraction form
   34,335/49,006 = 49,006/x
3. Step 3: Cross multiply
   34,335x = 49,006 × 49,006
4. Step 4: Simplify right side
   34,335x = 2,401,588,036
5. Step 5: Solve for x
   x = 2,401,588,036/34,335
6. Step 6: Final answer
   x = 69,945.77