Finding the Third Proportional to 47,012 and 72,838

Step by Step Solution

1. Step 1: Write the proportion equation
   47,012 : 72,838 = 72,838 : x
2. Step 2: Convert to fraction form
   47,012/72,838 = 72,838/x
3. Step 3: Cross multiply
   47,012x = 72,838 × 72,838
4. Step 4: Simplify right side
   47,012x = 5,305,374,244
5. Step 5: Solve for x
   x = 5,305,374,244/47,012
6. Step 6: Final answer
   x = 112,851.49