Finding the Third Proportional to 8,277 and 12,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,277 : 12,784.50 = 12,784.50 : x
2. Step 2: Convert to fraction form
   8,277/12,784.50 = 12,784.50/x
3. Step 3: Cross multiply
   8,277x = 12,784.50 × 12,784.50
4. Step 4: Simplify right side
   8,277x = 163,443,440.25
5. Step 5: Solve for x
   x = 163,443,440.25/8,277
6. Step 6: Final answer
   x = 19,746.70