Finding the Third Proportional to 32.14 and 52.22

Step by Step Solution

1. Step 1: Write the proportion equation
   32.14 : 52.22 = 52.22 : x
2. Step 2: Convert to fraction form
   32.14/52.22 = 52.22/x
3. Step 3: Cross multiply
   32.14x = 52.22 × 52.22
4. Step 4: Simplify right side
   32.14x = 2,726.80
5. Step 5: Solve for x
   x = 2,726.80/32.14
6. Step 6: Final answer
   x = 84.84