Finding the Third Proportional to 65.06 and 95.72

Step by Step Solution

1. Step 1: Write the proportion equation
   65.06 : 95.72 = 95.72 : x
2. Step 2: Convert to fraction form
   65.06/95.72 = 95.72/x
3. Step 3: Cross multiply
   65.06x = 95.72 × 95.72
4. Step 4: Simplify right side
   65.06x = 9,162.08
5. Step 5: Solve for x
   x = 9,162.08/65.06
6. Step 6: Final answer
   x = 140.82