Finding the Third Proportional to 49,806 and 74,762

Step by Step Solution

1. Step 1: Write the proportion equation
   49,806 : 74,762 = 74,762 : x
2. Step 2: Convert to fraction form
   49,806/74,762 = 74,762/x
3. Step 3: Cross multiply
   49,806x = 74,762 × 74,762
4. Step 4: Simplify right side
   49,806x = 5,589,356,644
5. Step 5: Solve for x
   x = 5,589,356,644/49,806
6. Step 6: Final answer
   x = 112,222.56