Finding the Third Proportional to 47,538 and 74,766

Step by Step Solution

1. Step 1: Write the proportion equation
   47,538 : 74,766 = 74,766 : x
2. Step 2: Convert to fraction form
   47,538/74,766 = 74,766/x
3. Step 3: Cross multiply
   47,538x = 74,766 × 74,766
4. Step 4: Simplify right side
   47,538x = 5,589,954,756
5. Step 5: Solve for x
   x = 5,589,954,756/47,538
6. Step 6: Final answer
   x = 117,589.19