Finding the Third Proportional to 53.25 and 116.63

Step by Step Solution

1. Step 1: Write the proportion equation
   53.25 : 116.63 = 116.63 : x
2. Step 2: Convert to fraction form
   53.25/116.63 = 116.63/x
3. Step 3: Cross multiply
   53.25x = 116.63 × 116.63
4. Step 4: Simplify right side
   53.25x = 13,601.39
5. Step 5: Solve for x
   x = 13,601.39/53.25
6. Step 6: Final answer
   x = 255.43