Finding the Third Proportional to 65.50 and 100.46

Step by Step Solution

1. Step 1: Write the proportion equation
   65.50 : 100.46 = 100.46 : x
2. Step 2: Convert to fraction form
   65.50/100.46 = 100.46/x
3. Step 3: Cross multiply
   65.50x = 100.46 × 100.46
4. Step 4: Simplify right side
   65.50x = 10,092.01
5. Step 5: Solve for x
   x = 10,092.01/65.50
6. Step 6: Final answer
   x = 154.09