Finding the Third Proportional to 46,820 and 70,734

Step by Step Solution

1. Step 1: Write the proportion equation
   46,820 : 70,734 = 70,734 : x
2. Step 2: Convert to fraction form
   46,820/70,734 = 70,734/x
3. Step 3: Cross multiply
   46,820x = 70,734 × 70,734
4. Step 4: Simplify right side
   46,820x = 5,003,298,756
5. Step 5: Solve for x
   x = 5,003,298,756/46,820
6. Step 6: Final answer
   x = 106,862.43