Finding the Third Proportional to 35.81 and 53.16

Step by Step Solution

1. Step 1: Write the proportion equation
   35.81 : 53.16 = 53.16 : x
2. Step 2: Convert to fraction form
   35.81/53.16 = 53.16/x
3. Step 3: Cross multiply
   35.81x = 53.16 × 53.16
4. Step 4: Simplify right side
   35.81x = 2,825.59
5. Step 5: Solve for x
   x = 2,825.59/35.81
6. Step 6: Final answer
   x = 78.90