Finding the Third Proportional to 47,648 and 72,471

Step by Step Solution

1. Step 1: Write the proportion equation
   47,648 : 72,471 = 72,471 : x
2. Step 2: Convert to fraction form
   47,648/72,471 = 72,471/x
3. Step 3: Cross multiply
   47,648x = 72,471 × 72,471
4. Step 4: Simplify right side
   47,648x = 5,252,045,841
5. Step 5: Solve for x
   x = 5,252,045,841/47,648
6. Step 6: Final answer
   x = 110,225.95