Finding the Third Proportional to 54.50 and 100.38

Step by Step Solution

1. Step 1: Write the proportion equation
   54.50 : 100.38 = 100.38 : x
2. Step 2: Convert to fraction form
   54.50/100.38 = 100.38/x
3. Step 3: Cross multiply
   54.50x = 100.38 × 100.38
4. Step 4: Simplify right side
   54.50x = 10,075.14
5. Step 5: Solve for x
   x = 10,075.14/54.50
6. Step 6: Final answer
   x = 184.86