Finding the Third Proportional to 35.72 and 53.02

Step by Step Solution

1. Step 1: Write the proportion equation
   35.72 : 53.02 = 53.02 : x
2. Step 2: Convert to fraction form
   35.72/53.02 = 53.02/x
3. Step 3: Cross multiply
   35.72x = 53.02 × 53.02
4. Step 4: Simplify right side
   35.72x = 2,810.66
5. Step 5: Solve for x
   x = 2,810.66/35.72
6. Step 6: Final answer
   x = 78.69