Finding the Third Proportional to 46,746 and 73,521

Step by Step Solution

1. Step 1: Write the proportion equation
   46,746 : 73,521 = 73,521 : x
2. Step 2: Convert to fraction form
   46,746/73,521 = 73,521/x
3. Step 3: Cross multiply
   46,746x = 73,521 × 73,521
4. Step 4: Simplify right side
   46,746x = 5,405,337,441
5. Step 5: Solve for x
   x = 5,405,337,441/46,746
6. Step 6: Final answer
   x = 115,632.08