Finding the Third Proportional to 47,638 and 73,838

Step by Step Solution

1. Step 1: Write the proportion equation
   47,638 : 73,838 = 73,838 : x
2. Step 2: Convert to fraction form
   47,638/73,838 = 73,838/x
3. Step 3: Cross multiply
   47,638x = 73,838 × 73,838
4. Step 4: Simplify right side
   47,638x = 5,452,050,244
5. Step 5: Solve for x
   x = 5,452,050,244/47,638
6. Step 6: Final answer
   x = 114,447.51