Finding the Third Proportional to 8,420 and 10,292

Step by Step Solution

1. Step 1: Write the proportion equation
   8,420 : 10,292 = 10,292 : x
2. Step 2: Convert to fraction form
   8,420/10,292 = 10,292/x
3. Step 3: Cross multiply
   8,420x = 10,292 × 10,292
4. Step 4: Simplify right side
   8,420x = 105,925,264
5. Step 5: Solve for x
   x = 105,925,264/8,420
6. Step 6: Final answer
   x = 12,580.20