Finding the Third Proportional to 65.50 and 91.60

Step by Step Solution

1. Step 1: Write the proportion equation
   65.50 : 91.60 = 91.60 : x
2. Step 2: Convert to fraction form
   65.50/91.60 = 91.60/x
3. Step 3: Cross multiply
   65.50x = 91.60 × 91.60
4. Step 4: Simplify right side
   65.50x = 8,390.49
5. Step 5: Solve for x
   x = 8,390.49/65.50
6. Step 6: Final answer
   x = 128.11