Finding the Third Proportional to 53.63 and 82.88

Step by Step Solution

1. Step 1: Write the proportion equation
   53.63 : 82.88 = 82.88 : x
2. Step 2: Convert to fraction form
   53.63/82.88 = 82.88/x
3. Step 3: Cross multiply
   53.63x = 82.88 × 82.88
4. Step 4: Simplify right side
   53.63x = 6,868.27
5. Step 5: Solve for x
   x = 6,868.27/53.63
6. Step 6: Final answer
   x = 128.08