Finding the Third Proportional to 71.30 and 152.61

Step by Step Solution

1. Step 1: Write the proportion equation
   71.30 : 152.61 = 152.61 : x
2. Step 2: Convert to fraction form
   71.30/152.61 = 152.61/x
3. Step 3: Cross multiply
   71.30x = 152.61 × 152.61
4. Step 4: Simplify right side
   71.30x = 23,290.81
5. Step 5: Solve for x
   x = 23,290.81/71.30
6. Step 6: Final answer
   x = 326.67