Finding the Third Proportional to 17.50 and 45.94

Step by Step Solution

1. Step 1: Write the proportion equation
   17.50 : 45.94 = 45.94 : x
2. Step 2: Convert to fraction form
   17.50/45.94 = 45.94/x
3. Step 3: Cross multiply
   17.50x = 45.94 × 45.94
4. Step 4: Simplify right side
   17.50x = 2,110.25
5. Step 5: Solve for x
   x = 2,110.25/17.50
6. Step 6: Final answer
   x = 120.59