Finding the Third Proportional to 9,677.81 and 21,223.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.81 : 21,223.69 = 21,223.69 : x
2. Step 2: Convert to fraction form
   9,677.81/21,223.69 = 21,223.69/x
3. Step 3: Cross multiply
   9,677.81x = 21,223.69 × 21,223.69
4. Step 4: Simplify right side
   9,677.81x = 450,444,911.10
5. Step 5: Solve for x
   x = 450,444,911.10/9,677.81
6. Step 6: Final answer
   x = 46,544.08