Finding the Third Proportional to 10,282 and 22,426

Step by Step Solution

1. Step 1: Write the proportion equation
   10,282 : 22,426 = 22,426 : x
2. Step 2: Convert to fraction form
   10,282/22,426 = 22,426/x
3. Step 3: Cross multiply
   10,282x = 22,426 × 22,426
4. Step 4: Simplify right side
   10,282x = 502,925,476
5. Step 5: Solve for x
   x = 502,925,476/10,282
6. Step 6: Final answer
   x = 48,913.20