Finding the Third Proportional to 23,786 and 49,012

Step by Step Solution

1. Step 1: Write the proportion equation
   23,786 : 49,012 = 49,012 : x
2. Step 2: Convert to fraction form
   23,786/49,012 = 49,012/x
3. Step 3: Cross multiply
   23,786x = 49,012 × 49,012
4. Step 4: Simplify right side
   23,786x = 2,402,176,144
5. Step 5: Solve for x
   x = 2,402,176,144/23,786
6. Step 6: Final answer
   x = 100,991.18