Finding the Third Proportional to 6,783 and 10,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,783 : 10,123.50 = 10,123.50 : x
2. Step 2: Convert to fraction form
   6,783/10,123.50 = 10,123.50/x
3. Step 3: Cross multiply
   6,783x = 10,123.50 × 10,123.50
4. Step 4: Simplify right side
   6,783x = 102,485,252.25
5. Step 5: Solve for x
   x = 102,485,252.25/6,783
6. Step 6: Final answer
   x = 15,109.13