Finding the Third Proportional to 53.25 and 78.38

Step by Step Solution

1. Step 1: Write the proportion equation
   53.25 : 78.38 = 78.38 : x
2. Step 2: Convert to fraction form
   53.25/78.38 = 78.38/x
3. Step 3: Cross multiply
   53.25x = 78.38 × 78.38
4. Step 4: Simplify right side
   53.25x = 6,142.64
5. Step 5: Solve for x
   x = 6,142.64/53.25
6. Step 6: Final answer
   x = 115.35