Finding the Third Proportional to 27.86 and 42.93

Step by Step Solution

1. Step 1: Write the proportion equation
   27.86 : 42.93 = 42.93 : x
2. Step 2: Convert to fraction form
   27.86/42.93 = 42.93/x
3. Step 3: Cross multiply
   27.86x = 42.93 × 42.93
4. Step 4: Simplify right side
   27.86x = 1,842.60
5. Step 5: Solve for x
   x = 1,842.60/27.86
6. Step 6: Final answer
   x = 66.15