Finding the Third Proportional to 9,182 and 12,776

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182 : 12,776 = 12,776 : x
2. Step 2: Convert to fraction form
   9,182/12,776 = 12,776/x
3. Step 3: Cross multiply
   9,182x = 12,776 × 12,776
4. Step 4: Simplify right side
   9,182x = 163,226,176
5. Step 5: Solve for x
   x = 163,226,176/9,182
6. Step 6: Final answer
   x = 17,776.76