Finding the Third Proportional to 46.59 and 71.16

Step by Step Solution

1. Step 1: Write the proportion equation
   46.59 : 71.16 = 71.16 : x
2. Step 2: Convert to fraction form
   46.59/71.16 = 71.16/x
3. Step 3: Cross multiply
   46.59x = 71.16 × 71.16
4. Step 4: Simplify right side
   46.59x = 5,063.21
5. Step 5: Solve for x
   x = 5,063.21/46.59
6. Step 6: Final answer
   x = 108.67