Finding the Third Proportional to 24,164 and 49,010

Step by Step Solution

1. Step 1: Write the proportion equation
   24,164 : 49,010 = 49,010 : x
2. Step 2: Convert to fraction form
   24,164/49,010 = 49,010/x
3. Step 3: Cross multiply
   24,164x = 49,010 × 49,010
4. Step 4: Simplify right side
   24,164x = 2,401,980,100
5. Step 5: Solve for x
   x = 2,401,980,100/24,164
6. Step 6: Final answer
   x = 99,403.25