Finding the Third Proportional to 10,783 and 16,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,783 : 16,356.50 = 16,356.50 : x
2. Step 2: Convert to fraction form
   10,783/16,356.50 = 16,356.50/x
3. Step 3: Cross multiply
   10,783x = 16,356.50 × 16,356.50
4. Step 4: Simplify right side
   10,783x = 267,535,092.25
5. Step 5: Solve for x
   x = 267,535,092.25/10,783
6. Step 6: Final answer
   x = 24,810.82