Finding the Third Proportional to 53.50 and 75.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53.50 : 75.25 = 75.25 : x
2. Step 2: Convert to fraction form
   53.50/75.25 = 75.25/x
3. Step 3: Cross multiply
   53.50x = 75.25 × 75.25
4. Step 4: Simplify right side
   53.50x = 5,662.56
5. Step 5: Solve for x
   x = 5,662.56/53.50
6. Step 6: Final answer
   x = 105.84