Finding the Third Proportional to 89.86 and 101.72

Step by Step Solution

1. Step 1: Write the proportion equation
   89.86 : 101.72 = 101.72 : x
2. Step 2: Convert to fraction form
   89.86/101.72 = 101.72/x
3. Step 3: Cross multiply
   89.86x = 101.72 × 101.72
4. Step 4: Simplify right side
   89.86x = 10,347.90
5. Step 5: Solve for x
   x = 10,347.90/89.86
6. Step 6: Final answer
   x = 115.16