Finding the Third Proportional to 9,826.31 and 14,767.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826.31 : 14,767.31 = 14,767.31 : x
2. Step 2: Convert to fraction form
   9,826.31/14,767.31 = 14,767.31/x
3. Step 3: Cross multiply
   9,826.31x = 14,767.31 × 14,767.31
4. Step 4: Simplify right side
   9,826.31x = 218,073,518.47
5. Step 5: Solve for x
   x = 218,073,518.47/9,826.31
6. Step 6: Final answer
   x = 22,192.81