Finding the Third Proportional to 30.86 and 53.27

Step by Step Solution

1. Step 1: Write the proportion equation
   30.86 : 53.27 = 53.27 : x
2. Step 2: Convert to fraction form
   30.86/53.27 = 53.27/x
3. Step 3: Cross multiply
   30.86x = 53.27 × 53.27
4. Step 4: Simplify right side
   30.86x = 2,837.41
5. Step 5: Solve for x
   x = 2,837.41/30.86
6. Step 6: Final answer
   x = 91.94