Finding the Third Proportional to 33.77 and 53.06

Step by Step Solution

1. Step 1: Write the proportion equation
   33.77 : 53.06 = 53.06 : x
2. Step 2: Convert to fraction form
   33.77/53.06 = 53.06/x
3. Step 3: Cross multiply
   33.77x = 53.06 × 53.06
4. Step 4: Simplify right side
   33.77x = 2,815.63
5. Step 5: Solve for x
   x = 2,815.63/33.77
6. Step 6: Final answer
   x = 83.37