Finding the Third Proportional to 46.57 and 101.16

Step by Step Solution

1. Step 1: Write the proportion equation
   46.57 : 101.16 = 101.16 : x
2. Step 2: Convert to fraction form
   46.57/101.16 = 101.16/x
3. Step 3: Cross multiply
   46.57x = 101.16 × 101.16
4. Step 4: Simplify right side
   46.57x = 10,232.59
5. Step 5: Solve for x
   x = 10,232.59/46.57
6. Step 6: Final answer
   x = 219.72