Finding the Third Proportional to 12,276 and 28,642

Step by Step Solution

1. Step 1: Write the proportion equation
   12,276 : 28,642 = 28,642 : x
2. Step 2: Convert to fraction form
   12,276/28,642 = 28,642/x
3. Step 3: Cross multiply
   12,276x = 28,642 × 28,642
4. Step 4: Simplify right side
   12,276x = 820,364,164
5. Step 5: Solve for x
   x = 820,364,164/12,276
6. Step 6: Final answer
   x = 66,826.67