Finding the Third Proportional to 85.88 and 101.06

Step by Step Solution

1. Step 1: Write the proportion equation
   85.88 : 101.06 = 101.06 : x
2. Step 2: Convert to fraction form
   85.88/101.06 = 101.06/x
3. Step 3: Cross multiply
   85.88x = 101.06 × 101.06
4. Step 4: Simplify right side
   85.88x = 10,213.63
5. Step 5: Solve for x
   x = 10,213.63/85.88
6. Step 6: Final answer
   x = 118.94