Finding the Third Proportional to 36,144 and 49,242

Step by Step Solution

1. Step 1: Write the proportion equation
   36,144 : 49,242 = 49,242 : x
2. Step 2: Convert to fraction form
   36,144/49,242 = 49,242/x
3. Step 3: Cross multiply
   36,144x = 49,242 × 49,242
4. Step 4: Simplify right side
   36,144x = 2,424,774,564
5. Step 5: Solve for x
   x = 2,424,774,564/36,144
6. Step 6: Final answer
   x = 67,086.50