Finding the Third Proportional to 53.94 and 100.19

Step by Step Solution

1. Step 1: Write the proportion equation
   53.94 : 100.19 = 100.19 : x
2. Step 2: Convert to fraction form
   53.94/100.19 = 100.19/x
3. Step 3: Cross multiply
   53.94x = 100.19 × 100.19
4. Step 4: Simplify right side
   53.94x = 10,037.54
5. Step 5: Solve for x
   x = 10,037.54/53.94
6. Step 6: Final answer
   x = 186.10