Finding the Third Proportional to 9,826.50 and 21,314.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.50 : 21,314.63 = 21,314.63 : x
2. Step 2: Convert to fraction form
   9,826.50/21,314.63 = 21,314.63/x
3. Step 3: Cross multiply
   9,826.50x = 21,314.63 × 21,314.63
4. Step 4: Simplify right side
   9,826.50x = 454,313,238.89
5. Step 5: Solve for x
   x = 454,313,238.89/9,826.50
6. Step 6: Final answer
   x = 46,233.47