Finding the Third Proportional to 9,834.25 and 21,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,834.25 : 21,309.50 = 21,309.50 : x
2. Step 2: Convert to fraction form
   9,834.25/21,309.50 = 21,309.50/x
3. Step 3: Cross multiply
   9,834.25x = 21,309.50 × 21,309.50
4. Step 4: Simplify right side
   9,834.25x = 454,094,790.25
5. Step 5: Solve for x
   x = 454,094,790.25/9,834.25
6. Step 6: Final answer
   x = 46,174.83