Finding the Third Proportional to 53.25 and 75.06

Step by Step Solution

1. Step 1: Write the proportion equation
   53.25 : 75.06 = 75.06 : x
2. Step 2: Convert to fraction form
   53.25/75.06 = 75.06/x
3. Step 3: Cross multiply
   53.25x = 75.06 × 75.06
4. Step 4: Simplify right side
   53.25x = 5,634.38
5. Step 5: Solve for x
   x = 5,634.38/53.25
6. Step 6: Final answer
   x = 105.81