Finding the Third Proportional to 19,494.50 and 27,783.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,494.50 : 27,783.75 = 27,783.75 : x
2. Step 2: Convert to fraction form
   19,494.50/27,783.75 = 27,783.75/x
3. Step 3: Cross multiply
   19,494.50x = 27,783.75 × 27,783.75
4. Step 4: Simplify right side
   19,494.50x = 771,936,764.06
5. Step 5: Solve for x
   x = 771,936,764.06/19,494.50
6. Step 6: Final answer
   x = 39,597.67