Finding the Third Proportional to 100.05 and 152.14

Step by Step Solution

1. Step 1: Write the proportion equation
   100.05 : 152.14 = 152.14 : x
2. Step 2: Convert to fraction form
   100.05/152.14 = 152.14/x
3. Step 3: Cross multiply
   100.05x = 152.14 × 152.14
4. Step 4: Simplify right side
   100.05x = 23,146.18
5. Step 5: Solve for x
   x = 23,146.18/100.05
6. Step 6: Final answer
   x = 231.34