Finding the Third Proportional to 9,688.50 and 19,787.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.50 : 19,787.63 = 19,787.63 : x
2. Step 2: Convert to fraction form
   9,688.50/19,787.63 = 19,787.63/x
3. Step 3: Cross multiply
   9,688.50x = 19,787.63 × 19,787.63
4. Step 4: Simplify right side
   9,688.50x = 391,550,103.14
5. Step 5: Solve for x
   x = 391,550,103.14/9,688.50
6. Step 6: Final answer
   x = 40,413.90