Finding the Third Proportional to 19,677 and 28,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,677 : 28,783.50 = 28,783.50 : x
2. Step 2: Convert to fraction form
   19,677/28,783.50 = 28,783.50/x
3. Step 3: Cross multiply
   19,677x = 28,783.50 × 28,783.50
4. Step 4: Simplify right side
   19,677x = 828,489,872.25
5. Step 5: Solve for x
   x = 828,489,872.25/19,677
6. Step 6: Final answer
   x = 42,104.48