Finding the Third Proportional to 10,238 and 22,297

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238 : 22,297 = 22,297 : x
2. Step 2: Convert to fraction form
   10,238/22,297 = 22,297/x
3. Step 3: Cross multiply
   10,238x = 22,297 × 22,297
4. Step 4: Simplify right side
   10,238x = 497,156,209
5. Step 5: Solve for x
   x = 497,156,209/10,238
6. Step 6: Final answer
   x = 48,559.90