Finding the Third Proportional to 65.50 and 101.80

Step by Step Solution

1. Step 1: Write the proportion equation
   65.50 : 101.80 = 101.80 : x
2. Step 2: Convert to fraction form
   65.50/101.80 = 101.80/x
3. Step 3: Cross multiply
   65.50x = 101.80 × 101.80
4. Step 4: Simplify right side
   65.50x = 10,364.00
5. Step 5: Solve for x
   x = 10,364.00/65.50
6. Step 6: Final answer
   x = 158.24