Finding the Third Proportional to 6,783.75 and 10,054.13

Step by Step Solution

1. Step 1: Write the proportion equation
   6,783.75 : 10,054.13 = 10,054.13 : x
2. Step 2: Convert to fraction form
   6,783.75/10,054.13 = 10,054.13/x
3. Step 3: Cross multiply
   6,783.75x = 10,054.13 × 10,054.13
4. Step 4: Simplify right side
   6,783.75x = 101,085,429.52
5. Step 5: Solve for x
   x = 101,085,429.52/6,783.75
6. Step 6: Final answer
   x = 14,901.11