Finding the Third Proportional to 53.38 and 77.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53.38 : 77.25 = 77.25 : x
2. Step 2: Convert to fraction form
   53.38/77.25 = 77.25/x
3. Step 3: Cross multiply
   53.38x = 77.25 × 77.25
4. Step 4: Simplify right side
   53.38x = 5,967.56
5. Step 5: Solve for x
   x = 5,967.56/53.38
6. Step 6: Final answer
   x = 111.80