Finding the Third Proportional to 53.42 and 81.89

Step by Step Solution

1. Step 1: Write the proportion equation
   53.42 : 81.89 = 81.89 : x
2. Step 2: Convert to fraction form
   53.42/81.89 = 81.89/x
3. Step 3: Cross multiply
   53.42x = 81.89 × 81.89
4. Step 4: Simplify right side
   53.42x = 6,706.07
5. Step 5: Solve for x
   x = 6,706.07/53.42
6. Step 6: Final answer
   x = 125.53