Finding the Third Proportional to 46,224 and 73,470

Step by Step Solution

1. Step 1: Write the proportion equation
   46,224 : 73,470 = 73,470 : x
2. Step 2: Convert to fraction form
   46,224/73,470 = 73,470/x
3. Step 3: Cross multiply
   46,224x = 73,470 × 73,470
4. Step 4: Simplify right side
   46,224x = 5,397,840,900
5. Step 5: Solve for x
   x = 5,397,840,900/46,224
6. Step 6: Final answer
   x = 116,775.72