Finding the Third Proportional to 27,729.75 and 42,623.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,729.75 : 42,623.25 = 42,623.25 : x
2. Step 2: Convert to fraction form
   27,729.75/42,623.25 = 42,623.25/x
3. Step 3: Cross multiply
   27,729.75x = 42,623.25 × 42,623.25
4. Step 4: Simplify right side
   27,729.75x = 1,816,741,440.56
5. Step 5: Solve for x
   x = 1,816,741,440.56/27,729.75
6. Step 6: Final answer
   x = 65,515.97