Finding the Third Proportional to 19,674 and 40,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,674 : 40,783.50 = 40,783.50 : x
2. Step 2: Convert to fraction form
   19,674/40,783.50 = 40,783.50/x
3. Step 3: Cross multiply
   19,674x = 40,783.50 × 40,783.50
4. Step 4: Simplify right side
   19,674x = 1,663,293,872.25
5. Step 5: Solve for x
   x = 1,663,293,872.25/19,674
6. Step 6: Final answer
   x = 84,542.74