Finding the Third Proportional to 72.35 and 152.51

Step by Step Solution

1. Step 1: Write the proportion equation
   72.35 : 152.51 = 152.51 : x
2. Step 2: Convert to fraction form
   72.35/152.51 = 152.51/x
3. Step 3: Cross multiply
   72.35x = 152.51 × 152.51
4. Step 4: Simplify right side
   72.35x = 23,258.63
5. Step 5: Solve for x
   x = 23,258.63/72.35
6. Step 6: Final answer
   x = 321.47