Finding the Third Proportional to 74.75 and 109.46

Step by Step Solution

1. Step 1: Write the proportion equation
   74.75 : 109.46 = 109.46 : x
2. Step 2: Convert to fraction form
   74.75/109.46 = 109.46/x
3. Step 3: Cross multiply
   74.75x = 109.46 × 109.46
4. Step 4: Simplify right side
   74.75x = 11,980.79
5. Step 5: Solve for x
   x = 11,980.79/74.75
6. Step 6: Final answer
   x = 160.28