Finding the Third Proportional to 7,782 and 10,485

Step by Step Solution

1. Step 1: Write the proportion equation
   7,782 : 10,485 = 10,485 : x
2. Step 2: Convert to fraction form
   7,782/10,485 = 10,485/x
3. Step 3: Cross multiply
   7,782x = 10,485 × 10,485
4. Step 4: Simplify right side
   7,782x = 109,935,225
5. Step 5: Solve for x
   x = 109,935,225/7,782
6. Step 6: Final answer
   x = 14,126.86