Finding the Third Proportional to 47,673 and 72,791

Step by Step Solution

1. Step 1: Write the proportion equation
   47,673 : 72,791 = 72,791 : x
2. Step 2: Convert to fraction form
   47,673/72,791 = 72,791/x
3. Step 3: Cross multiply
   47,673x = 72,791 × 72,791
4. Step 4: Simplify right side
   47,673x = 5,298,529,681
5. Step 5: Solve for x
   x = 5,298,529,681/47,673
6. Step 6: Final answer
   x = 111,143.20