Finding the Third Proportional to 76.10 and 162.32

Step by Step Solution

1. Step 1: Write the proportion equation
   76.10 : 162.32 = 162.32 : x
2. Step 2: Convert to fraction form
   76.10/162.32 = 162.32/x
3. Step 3: Cross multiply
   76.10x = 162.32 × 162.32
4. Step 4: Simplify right side
   76.10x = 26,346.62
5. Step 5: Solve for x
   x = 26,346.62/76.10
6. Step 6: Final answer
   x = 346.23