Finding the Third Proportional to 34.56 and 53.94

Step by Step Solution

1. Step 1: Write the proportion equation
   34.56 : 53.94 = 53.94 : x
2. Step 2: Convert to fraction form
   34.56/53.94 = 53.94/x
3. Step 3: Cross multiply
   34.56x = 53.94 × 53.94
4. Step 4: Simplify right side
   34.56x = 2,909.25
5. Step 5: Solve for x
   x = 2,909.25/34.56
6. Step 6: Final answer
   x = 84.17