Finding the Third Proportional to 34.70 and 53.47

Step by Step Solution

1. Step 1: Write the proportion equation
   34.70 : 53.47 = 53.47 : x
2. Step 2: Convert to fraction form
   34.70/53.47 = 53.47/x
3. Step 3: Cross multiply
   34.70x = 53.47 × 53.47
4. Step 4: Simplify right side
   34.70x = 2,859.32
5. Step 5: Solve for x
   x = 2,859.32/34.70
6. Step 6: Final answer
   x = 82.40