Finding the Third Proportional to 10,364 and 21,835

Step by Step Solution

1. Step 1: Write the proportion equation
   10,364 : 21,835 = 21,835 : x
2. Step 2: Convert to fraction form
   10,364/21,835 = 21,835/x
3. Step 3: Cross multiply
   10,364x = 21,835 × 21,835
4. Step 4: Simplify right side
   10,364x = 476,767,225
5. Step 5: Solve for x
   x = 476,767,225/10,364
6. Step 6: Final answer
   x = 46,002.24