Finding the Third Proportional to 46,784 and 70,676

Step by Step Solution

1. Step 1: Write the proportion equation
   46,784 : 70,676 = 70,676 : x
2. Step 2: Convert to fraction form
   46,784/70,676 = 70,676/x
3. Step 3: Cross multiply
   46,784x = 70,676 × 70,676
4. Step 4: Simplify right side
   46,784x = 4,995,096,976
5. Step 5: Solve for x
   x = 4,995,096,976/46,784
6. Step 6: Final answer
   x = 106,769.34