Finding the Third Proportional to 31,176 and 46,630

Step by Step Solution

1. Step 1: Write the proportion equation
   31,176 : 46,630 = 46,630 : x
2. Step 2: Convert to fraction form
   31,176/46,630 = 46,630/x
3. Step 3: Cross multiply
   31,176x = 46,630 × 46,630
4. Step 4: Simplify right side
   31,176x = 2,174,356,900
5. Step 5: Solve for x
   x = 2,174,356,900/31,176
6. Step 6: Final answer
   x = 69,744.58