Finding the Third Proportional to 9,797 and 21,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,797 : 21,416.50 = 21,416.50 : x
2. Step 2: Convert to fraction form
   9,797/21,416.50 = 21,416.50/x
3. Step 3: Cross multiply
   9,797x = 21,416.50 × 21,416.50
4. Step 4: Simplify right side
   9,797x = 458,666,472.25
5. Step 5: Solve for x
   x = 458,666,472.25/9,797
6. Step 6: Final answer
   x = 46,817.03