Finding the Third Proportional to 53.06 and 75.69

Step by Step Solution

1. Step 1: Write the proportion equation
   53.06 : 75.69 = 75.69 : x
2. Step 2: Convert to fraction form
   53.06/75.69 = 75.69/x
3. Step 3: Cross multiply
   53.06x = 75.69 × 75.69
4. Step 4: Simplify right side
   53.06x = 5,728.60
5. Step 5: Solve for x
   x = 5,728.60/53.06
6. Step 6: Final answer
   x = 107.96