Finding the Third Proportional to 67.50 and 152.51

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 152.51 = 152.51 : x
2. Step 2: Convert to fraction form
   67.50/152.51 = 152.51/x
3. Step 3: Cross multiply
   67.50x = 152.51 × 152.51
4. Step 4: Simplify right side
   67.50x = 23,258.63
5. Step 5: Solve for x
   x = 23,258.63/67.50
6. Step 6: Final answer
   x = 344.57