Finding the Third Proportional to 10,835 and 23,282

Step by Step Solution

1. Step 1: Write the proportion equation
   10,835 : 23,282 = 23,282 : x
2. Step 2: Convert to fraction form
   10,835/23,282 = 23,282/x
3. Step 3: Cross multiply
   10,835x = 23,282 × 23,282
4. Step 4: Simplify right side
   10,835x = 542,051,524
5. Step 5: Solve for x
   x = 542,051,524/10,835
6. Step 6: Final answer
   x = 50,027.83