Finding the Third Proportional to 52.88 and 76.22

Step by Step Solution

1. Step 1: Write the proportion equation
   52.88 : 76.22 = 76.22 : x
2. Step 2: Convert to fraction form
   52.88/76.22 = 76.22/x
3. Step 3: Cross multiply
   52.88x = 76.22 × 76.22
4. Step 4: Simplify right side
   52.88x = 5,809.30
5. Step 5: Solve for x
   x = 5,809.30/52.88
6. Step 6: Final answer
   x = 109.87