Finding the Third Proportional to 34.45 and 53.02

Step by Step Solution

1. Step 1: Write the proportion equation
   34.45 : 53.02 = 53.02 : x
2. Step 2: Convert to fraction form
   34.45/53.02 = 53.02/x
3. Step 3: Cross multiply
   34.45x = 53.02 × 53.02
4. Step 4: Simplify right side
   34.45x = 2,810.66
5. Step 5: Solve for x
   x = 2,810.66/34.45
6. Step 6: Final answer
   x = 81.58