Finding the Third Proportional to 33,106 and 49,010

Step by Step Solution

1. Step 1: Write the proportion equation
   33,106 : 49,010 = 49,010 : x
2. Step 2: Convert to fraction form
   33,106/49,010 = 49,010/x
3. Step 3: Cross multiply
   33,106x = 49,010 × 49,010
4. Step 4: Simplify right side
   33,106x = 2,401,980,100
5. Step 5: Solve for x
   x = 2,401,980,100/33,106
6. Step 6: Final answer
   x = 72,554.22