Finding the Third Proportional to 34,618 and 49,501

Step by Step Solution

1. Step 1: Write the proportion equation
   34,618 : 49,501 = 49,501 : x
2. Step 2: Convert to fraction form
   34,618/49,501 = 49,501/x
3. Step 3: Cross multiply
   34,618x = 49,501 × 49,501
4. Step 4: Simplify right side
   34,618x = 2,450,349,001
5. Step 5: Solve for x
   x = 2,450,349,001/34,618
6. Step 6: Final answer
   x = 70,782.51