Finding the Third Proportional to 7,784 and 10,488

Step by Step Solution

1. Step 1: Write the proportion equation
   7,784 : 10,488 = 10,488 : x
2. Step 2: Convert to fraction form
   7,784/10,488 = 10,488/x
3. Step 3: Cross multiply
   7,784x = 10,488 × 10,488
4. Step 4: Simplify right side
   7,784x = 109,998,144
5. Step 5: Solve for x
   x = 109,998,144/7,784
6. Step 6: Final answer
   x = 14,131.31