Finding the Third Proportional to 10,220 and 11,300

Step by Step Solution

1. Step 1: Write the proportion equation
   10,220 : 11,300 = 11,300 : x
2. Step 2: Convert to fraction form
   10,220/11,300 = 11,300/x
3. Step 3: Cross multiply
   10,220x = 11,300 × 11,300
4. Step 4: Simplify right side
   10,220x = 127,690,000
5. Step 5: Solve for x
   x = 127,690,000/10,220
6. Step 6: Final answer
   x = 12,494.13