Finding the Third Proportional to 47,909 and 73,538

Step by Step Solution

1. Step 1: Write the proportion equation
   47,909 : 73,538 = 73,538 : x
2. Step 2: Convert to fraction form
   47,909/73,538 = 73,538/x
3. Step 3: Cross multiply
   47,909x = 73,538 × 73,538
4. Step 4: Simplify right side
   47,909x = 5,407,837,444
5. Step 5: Solve for x
   x = 5,407,837,444/47,909
6. Step 6: Final answer
   x = 112,877.28