Finding the Third Proportional to 9,796 and 21,432

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796 : 21,432 = 21,432 : x
2. Step 2: Convert to fraction form
   9,796/21,432 = 21,432/x
3. Step 3: Cross multiply
   9,796x = 21,432 × 21,432
4. Step 4: Simplify right side
   9,796x = 459,330,624
5. Step 5: Solve for x
   x = 459,330,624/9,796
6. Step 6: Final answer
   x = 46,889.61