Finding the Third Proportional to 103.75 and 152.13

Step by Step Solution

1. Step 1: Write the proportion equation
   103.75 : 152.13 = 152.13 : x
2. Step 2: Convert to fraction form
   103.75/152.13 = 152.13/x
3. Step 3: Cross multiply
   103.75x = 152.13 × 152.13
4. Step 4: Simplify right side
   103.75x = 23,142.02
5. Step 5: Solve for x
   x = 23,142.02/103.75
6. Step 6: Final answer
   x = 223.06