Finding the Third Proportional to 21.73 and 37.86

Step by Step Solution

1. Step 1: Write the proportion equation
   21.73 : 37.86 = 37.86 : x
2. Step 2: Convert to fraction form
   21.73/37.86 = 37.86/x
3. Step 3: Cross multiply
   21.73x = 37.86 × 37.86
4. Step 4: Simplify right side
   21.73x = 1,433.63
5. Step 5: Solve for x
   x = 1,433.63/21.73
6. Step 6: Final answer
   x = 65.99