Finding the Third Proportional to 34.66 and 53.86

Step by Step Solution

1. Step 1: Write the proportion equation
   34.66 : 53.86 = 53.86 : x
2. Step 2: Convert to fraction form
   34.66/53.86 = 53.86/x
3. Step 3: Cross multiply
   34.66x = 53.86 × 53.86
4. Step 4: Simplify right side
   34.66x = 2,900.83
5. Step 5: Solve for x
   x = 2,900.83/34.66
6. Step 6: Final answer
   x = 83.68