Finding the Third Proportional to 34,738 and 74,744

Step by Step Solution

1. Step 1: Write the proportion equation
   34,738 : 74,744 = 74,744 : x
2. Step 2: Convert to fraction form
   34,738/74,744 = 74,744/x
3. Step 3: Cross multiply
   34,738x = 74,744 × 74,744
4. Step 4: Simplify right side
   34,738x = 5,586,665,536
5. Step 5: Solve for x
   x = 5,586,665,536/34,738
6. Step 6: Final answer
   x = 160,822.89