Finding the Third Proportional to 9,649.13 and 19,981.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,649.13 : 19,981.69 = 19,981.69 : x
2. Step 2: Convert to fraction form
   9,649.13/19,981.69 = 19,981.69/x
3. Step 3: Cross multiply
   9,649.13x = 19,981.69 × 19,981.69
4. Step 4: Simplify right side
   9,649.13x = 399,267,835.35
5. Step 5: Solve for x
   x = 399,267,835.35/9,649.13
6. Step 6: Final answer
   x = 41,378.66