Finding the Third Proportional to 9,216 and 21,376

Step by Step Solution

1. Step 1: Write the proportion equation
   9,216 : 21,376 = 21,376 : x
2. Step 2: Convert to fraction form
   9,216/21,376 = 21,376/x
3. Step 3: Cross multiply
   9,216x = 21,376 × 21,376
4. Step 4: Simplify right side
   9,216x = 456,933,376
5. Step 5: Solve for x
   x = 456,933,376/9,216
6. Step 6: Final answer
   x = 49,580.44