Finding the Third Proportional to 47,077 and 72,119

Step by Step Solution

1. Step 1: Write the proportion equation
   47,077 : 72,119 = 72,119 : x
2. Step 2: Convert to fraction form
   47,077/72,119 = 72,119/x
3. Step 3: Cross multiply
   47,077x = 72,119 × 72,119
4. Step 4: Simplify right side
   47,077x = 5,201,150,161
5. Step 5: Solve for x
   x = 5,201,150,161/47,077
6. Step 6: Final answer
   x = 110,481.77