Finding the Third Proportional to 7,785 and 10,281

Step by Step Solution

1. Step 1: Write the proportion equation
   7,785 : 10,281 = 10,281 : x
2. Step 2: Convert to fraction form
   7,785/10,281 = 10,281/x
3. Step 3: Cross multiply
   7,785x = 10,281 × 10,281
4. Step 4: Simplify right side
   7,785x = 105,698,961
5. Step 5: Solve for x
   x = 105,698,961/7,785
6. Step 6: Final answer
   x = 13,577.26