Finding the Third Proportional to 46,974 and 72,648

Step by Step Solution

1. Step 1: Write the proportion equation
   46,974 : 72,648 = 72,648 : x
2. Step 2: Convert to fraction form
   46,974/72,648 = 72,648/x
3. Step 3: Cross multiply
   46,974x = 72,648 × 72,648
4. Step 4: Simplify right side
   46,974x = 5,277,731,904
5. Step 5: Solve for x
   x = 5,277,731,904/46,974
6. Step 6: Final answer
   x = 112,354.32