Finding the Third Proportional to 27,824.81 and 65,616.94

Step by Step Solution

1. Step 1: Write the proportion equation
   27,824.81 : 65,616.94 = 65,616.94 : x
2. Step 2: Convert to fraction form
   27,824.81/65,616.94 = 65,616.94/x
3. Step 3: Cross multiply
   27,824.81x = 65,616.94 × 65,616.94
4. Step 4: Simplify right side
   27,824.81x = 4,305,582,486.88
5. Step 5: Solve for x
   x = 4,305,582,486.88/27,824.81
6. Step 6: Final answer
   x = 154,738.96