Finding the Third Proportional to 7,781 and 10,483

Step by Step Solution

1. Step 1: Write the proportion equation
   7,781 : 10,483 = 10,483 : x
2. Step 2: Convert to fraction form
   7,781/10,483 = 10,483/x
3. Step 3: Cross multiply
   7,781x = 10,483 × 10,483
4. Step 4: Simplify right side
   7,781x = 109,893,289
5. Step 5: Solve for x
   x = 109,893,289/7,781
6. Step 6: Final answer
   x = 14,123.29