Finding the Third Proportional to 53.75 and 78.13

Step by Step Solution

1. Step 1: Write the proportion equation
   53.75 : 78.13 = 78.13 : x
2. Step 2: Convert to fraction form
   53.75/78.13 = 78.13/x
3. Step 3: Cross multiply
   53.75x = 78.13 × 78.13
4. Step 4: Simplify right side
   53.75x = 6,103.52
5. Step 5: Solve for x
   x = 6,103.52/53.75
6. Step 6: Final answer
   x = 113.55