Finding the Third Proportional to 101.53 and 152.16

Step by Step Solution

1. Step 1: Write the proportion equation
   101.53 : 152.16 = 152.16 : x
2. Step 2: Convert to fraction form
   101.53/152.16 = 152.16/x
3. Step 3: Cross multiply
   101.53x = 152.16 × 152.16
4. Step 4: Simplify right side
   101.53x = 23,151.52
5. Step 5: Solve for x
   x = 23,151.52/101.53
6. Step 6: Final answer
   x = 228.02