Finding the Third Proportional to 45.74 and 101.60

Step by Step Solution

1. Step 1: Write the proportion equation
   45.74 : 101.60 = 101.60 : x
2. Step 2: Convert to fraction form
   45.74/101.60 = 101.60/x
3. Step 3: Cross multiply
   45.74x = 101.60 × 101.60
4. Step 4: Simplify right side
   45.74x = 10,322.88
5. Step 5: Solve for x
   x = 10,322.88/45.74
6. Step 6: Final answer
   x = 225.69