Finding the Third Proportional to 53.33 and 85.02

Step by Step Solution

1. Step 1: Write the proportion equation
   53.33 : 85.02 = 85.02 : x
2. Step 2: Convert to fraction form
   53.33/85.02 = 85.02/x
3. Step 3: Cross multiply
   53.33x = 85.02 × 85.02
4. Step 4: Simplify right side
   53.33x = 7,228.98
5. Step 5: Solve for x
   x = 7,228.98/53.33
6. Step 6: Final answer
   x = 135.56