Finding the Third Proportional to 27.84 and 44.72

Step by Step Solution

1. Step 1: Write the proportion equation
   27.84 : 44.72 = 44.72 : x
2. Step 2: Convert to fraction form
   27.84/44.72 = 44.72/x
3. Step 3: Cross multiply
   27.84x = 44.72 × 44.72
4. Step 4: Simplify right side
   27.84x = 1,999.77
5. Step 5: Solve for x
   x = 1,999.77/27.84
6. Step 6: Final answer
   x = 71.82