Finding the Third Proportional to 35.31 and 72.88

Step by Step Solution

1. Step 1: Write the proportion equation
   35.31 : 72.88 = 72.88 : x
2. Step 2: Convert to fraction form
   35.31/72.88 = 72.88/x
3. Step 3: Cross multiply
   35.31x = 72.88 × 72.88
4. Step 4: Simplify right side
   35.31x = 5,310.77
5. Step 5: Solve for x
   x = 5,310.77/35.31
6. Step 6: Final answer
   x = 150.39