Finding the Third Proportional to 49,149 and 73,642

Step by Step Solution

1. Step 1: Write the proportion equation
   49,149 : 73,642 = 73,642 : x
2. Step 2: Convert to fraction form
   49,149/73,642 = 73,642/x
3. Step 3: Cross multiply
   49,149x = 73,642 × 73,642
4. Step 4: Simplify right side
   49,149x = 5,423,144,164
5. Step 5: Solve for x
   x = 5,423,144,164/49,149
6. Step 6: Final answer
   x = 110,340.89