Finding the Third Proportional to 74.50 and 109.25

Step by Step Solution

1. Step 1: Write the proportion equation
   74.50 : 109.25 = 109.25 : x
2. Step 2: Convert to fraction form
   74.50/109.25 = 109.25/x
3. Step 3: Cross multiply
   74.50x = 109.25 × 109.25
4. Step 4: Simplify right side
   74.50x = 11,935.56
5. Step 5: Solve for x
   x = 11,935.56/74.50
6. Step 6: Final answer
   x = 160.21