Finding the Third Proportional to 46,320 and 73,680

Step by Step Solution

1. Step 1: Write the proportion equation
   46,320 : 73,680 = 73,680 : x
2. Step 2: Convert to fraction form
   46,320/73,680 = 73,680/x
3. Step 3: Cross multiply
   46,320x = 73,680 × 73,680
4. Step 4: Simplify right side
   46,320x = 5,428,742,400
5. Step 5: Solve for x
   x = 5,428,742,400/46,320
6. Step 6: Final answer
   x = 117,200.83