Finding the Third Proportional to 46.69 and 101.06

Step by Step Solution

1. Step 1: Write the proportion equation
   46.69 : 101.06 = 101.06 : x
2. Step 2: Convert to fraction form
   46.69/101.06 = 101.06/x
3. Step 3: Cross multiply
   46.69x = 101.06 × 101.06
4. Step 4: Simplify right side
   46.69x = 10,213.63
5. Step 5: Solve for x
   x = 10,213.63/46.69
6. Step 6: Final answer
   x = 218.77