Finding the Third Proportional to 46,746 and 72,504

Step by Step Solution

1. Step 1: Write the proportion equation
   46,746 : 72,504 = 72,504 : x
2. Step 2: Convert to fraction form
   46,746/72,504 = 72,504/x
3. Step 3: Cross multiply
   46,746x = 72,504 × 72,504
4. Step 4: Simplify right side
   46,746x = 5,256,830,016
5. Step 5: Solve for x
   x = 5,256,830,016/46,746
6. Step 6: Final answer
   x = 112,455.18