Finding the Third Proportional to 49,738 and 73,634

Step by Step Solution

1. Step 1: Write the proportion equation
   49,738 : 73,634 = 73,634 : x
2. Step 2: Convert to fraction form
   49,738/73,634 = 73,634/x
3. Step 3: Cross multiply
   49,738x = 73,634 × 73,634
4. Step 4: Simplify right side
   49,738x = 5,421,965,956
5. Step 5: Solve for x
   x = 5,421,965,956/49,738
6. Step 6: Final answer
   x = 109,010.53