Finding the Third Proportional to 35.25 and 53.63

Step by Step Solution

1. Step 1: Write the proportion equation
   35.25 : 53.63 = 53.63 : x
2. Step 2: Convert to fraction form
   35.25/53.63 = 53.63/x
3. Step 3: Cross multiply
   35.25x = 53.63 × 53.63
4. Step 4: Simplify right side
   35.25x = 2,875.64
5. Step 5: Solve for x
   x = 2,875.64/35.25
6. Step 6: Final answer
   x = 81.58