Finding the Third Proportional to 46.55 and 71.58

Step by Step Solution

1. Step 1: Write the proportion equation
   46.55 : 71.58 = 71.58 : x
2. Step 2: Convert to fraction form
   46.55/71.58 = 71.58/x
3. Step 3: Cross multiply
   46.55x = 71.58 × 71.58
4. Step 4: Simplify right side
   46.55x = 5,123.43
5. Step 5: Solve for x
   x = 5,123.43/46.55
6. Step 6: Final answer
   x = 110.07