Finding the Third Proportional to 47,838 and 72,504

Step by Step Solution

1. Step 1: Write the proportion equation
   47,838 : 72,504 = 72,504 : x
2. Step 2: Convert to fraction form
   47,838/72,504 = 72,504/x
3. Step 3: Cross multiply
   47,838x = 72,504 × 72,504
4. Step 4: Simplify right side
   47,838x = 5,256,830,016
5. Step 5: Solve for x
   x = 5,256,830,016/47,838
6. Step 6: Final answer
   x = 109,888.16