Finding the Third Proportional to 7,803.84 and 10,405.97

Step by Step Solution

1. Step 1: Write the proportion equation
   7,803.84 : 10,405.97 = 10,405.97 : x
2. Step 2: Convert to fraction form
   7,803.84/10,405.97 = 10,405.97/x
3. Step 3: Cross multiply
   7,803.84x = 10,405.97 × 10,405.97
4. Step 4: Simplify right side
   7,803.84x = 108,284,185.63
5. Step 5: Solve for x
   x = 108,284,185.63/7,803.84
6. Step 6: Final answer
   x = 13,875.75