Finding the Third Proportional to 10,322 and 22,300

Step by Step Solution

1. Step 1: Write the proportion equation
   10,322 : 22,300 = 22,300 : x
2. Step 2: Convert to fraction form
   10,322/22,300 = 22,300/x
3. Step 3: Cross multiply
   10,322x = 22,300 × 22,300
4. Step 4: Simplify right side
   10,322x = 497,290,000
5. Step 5: Solve for x
   x = 497,290,000/10,322
6. Step 6: Final answer
   x = 48,177.68