Finding the Third Proportional to 53.75 and 109.38

Step by Step Solution

1. Step 1: Write the proportion equation
   53.75 : 109.38 = 109.38 : x
2. Step 2: Convert to fraction form
   53.75/109.38 = 109.38/x
3. Step 3: Cross multiply
   53.75x = 109.38 × 109.38
4. Step 4: Simplify right side
   53.75x = 11,962.89
5. Step 5: Solve for x
   x = 11,962.89/53.75
6. Step 6: Final answer
   x = 222.57