Finding the Third Proportional to 65.75 and 152.13

Step by Step Solution

1. Step 1: Write the proportion equation
   65.75 : 152.13 = 152.13 : x
2. Step 2: Convert to fraction form
   65.75/152.13 = 152.13/x
3. Step 3: Cross multiply
   65.75x = 152.13 × 152.13
4. Step 4: Simplify right side
   65.75x = 23,142.02
5. Step 5: Solve for x
   x = 23,142.02/65.75
6. Step 6: Final answer
   x = 351.97