Finding the Third Proportional to 49,806 and 76,005

Step by Step Solution

1. Step 1: Write the proportion equation
   49,806 : 76,005 = 76,005 : x
2. Step 2: Convert to fraction form
   49,806/76,005 = 76,005/x
3. Step 3: Cross multiply
   49,806x = 76,005 × 76,005
4. Step 4: Simplify right side
   49,806x = 5,776,760,025
5. Step 5: Solve for x
   x = 5,776,760,025/49,806
6. Step 6: Final answer
   x = 115,985.22