Finding the Third Proportional to 34 and 53.38

Step by Step Solution

1. Step 1: Write the proportion equation
   34 : 53.38 = 53.38 : x
2. Step 2: Convert to fraction form
   34/53.38 = 53.38/x
3. Step 3: Cross multiply
   34x = 53.38 × 53.38
4. Step 4: Simplify right side
   34x = 2,848.89
5. Step 5: Solve for x
   x = 2,848.89/34
6. Step 6: Final answer
   x = 83.79