Finding the Third Proportional to 76.89 and 112.48

Step by Step Solution

1. Step 1: Write the proportion equation
   76.89 : 112.48 = 112.48 : x
2. Step 2: Convert to fraction form
   76.89/112.48 = 112.48/x
3. Step 3: Cross multiply
   76.89x = 112.48 × 112.48
4. Step 4: Simplify right side
   76.89x = 12,652.30
5. Step 5: Solve for x
   x = 12,652.30/76.89
6. Step 6: Final answer
   x = 164.56