Finding the Third Proportional to 72.64 and 158.10

Step by Step Solution

1. Step 1: Write the proportion equation
   72.64 : 158.10 = 158.10 : x
2. Step 2: Convert to fraction form
   72.64/158.10 = 158.10/x
3. Step 3: Cross multiply
   72.64x = 158.10 × 158.10
4. Step 4: Simplify right side
   72.64x = 24,996.95
5. Step 5: Solve for x
   x = 24,996.95/72.64
6. Step 6: Final answer
   x = 344.10