Finding the Third Proportional to 10,232 and 22,380

Step by Step Solution

1. Step 1: Write the proportion equation
   10,232 : 22,380 = 22,380 : x
2. Step 2: Convert to fraction form
   10,232/22,380 = 22,380/x
3. Step 3: Cross multiply
   10,232x = 22,380 × 22,380
4. Step 4: Simplify right side
   10,232x = 500,864,400
5. Step 5: Solve for x
   x = 500,864,400/10,232
6. Step 6: Final answer
   x = 48,950.78