Finding the Third Proportional to 46.69 and 70.31

Step by Step Solution

1. Step 1: Write the proportion equation
   46.69 : 70.31 = 70.31 : x
2. Step 2: Convert to fraction form
   46.69/70.31 = 70.31/x
3. Step 3: Cross multiply
   46.69x = 70.31 × 70.31
4. Step 4: Simplify right side
   46.69x = 4,943.85
5. Step 5: Solve for x
   x = 4,943.85/46.69
6. Step 6: Final answer
   x = 105.89