Finding the Third Proportional to 32.06 and 42.19

Step by Step Solution

1. Step 1: Write the proportion equation
   32.06 : 42.19 = 42.19 : x
2. Step 2: Convert to fraction form
   32.06/42.19 = 42.19/x
3. Step 3: Cross multiply
   32.06x = 42.19 × 42.19
4. Step 4: Simplify right side
   32.06x = 1,779.79
5. Step 5: Solve for x
   x = 1,779.79/32.06
6. Step 6: Final answer
   x = 55.51