Finding the Third Proportional to 10,624 and 23,192

Step by Step Solution

1. Step 1: Write the proportion equation
   10,624 : 23,192 = 23,192 : x
2. Step 2: Convert to fraction form
   10,624/23,192 = 23,192/x
3. Step 3: Cross multiply
   10,624x = 23,192 × 23,192
4. Step 4: Simplify right side
   10,624x = 537,868,864
5. Step 5: Solve for x
   x = 537,868,864/10,624
6. Step 6: Final answer
   x = 50,627.72