Finding the Third Proportional to 94.56 and 114.96

Step by Step Solution

1. Step 1: Write the proportion equation
   94.56 : 114.96 = 114.96 : x
2. Step 2: Convert to fraction form
   94.56/114.96 = 114.96/x
3. Step 3: Cross multiply
   94.56x = 114.96 × 114.96
4. Step 4: Simplify right side
   94.56x = 13,216.02
5. Step 5: Solve for x
   x = 13,216.02/94.56
6. Step 6: Final answer
   x = 139.77