Finding the Third Proportional to 53.63 and 85.56

Step by Step Solution

1. Step 1: Write the proportion equation
   53.63 : 85.56 = 85.56 : x
2. Step 2: Convert to fraction form
   53.63/85.56 = 85.56/x
3. Step 3: Cross multiply
   53.63x = 85.56 × 85.56
4. Step 4: Simplify right side
   53.63x = 7,320.94
5. Step 5: Solve for x
   x = 7,320.94/53.63
6. Step 6: Final answer
   x = 136.52