Finding the Third Proportional to 22.50 and 46.59

Step by Step Solution

1. Step 1: Write the proportion equation
   22.50 : 46.59 = 46.59 : x
2. Step 2: Convert to fraction form
   22.50/46.59 = 46.59/x
3. Step 3: Cross multiply
   22.50x = 46.59 × 46.59
4. Step 4: Simplify right side
   22.50x = 2,170.98
5. Step 5: Solve for x
   x = 2,170.98/22.50
6. Step 6: Final answer
   x = 96.49