Finding the Third Proportional to 47,972 and 101,790

Step by Step Solution

1. Step 1: Write the proportion equation
   47,972 : 101,790 = 101,790 : x
2. Step 2: Convert to fraction form
   47,972/101,790 = 101,790/x
3. Step 3: Cross multiply
   47,972x = 101,790 × 101,790
4. Step 4: Simplify right side
   47,972x = 10,361,204,100
5. Step 5: Solve for x
   x = 10,361,204,100/47,972
6. Step 6: Final answer
   x = 215,984.41