Finding the Third Proportional to 10,969.31 and 23,689.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,969.31 : 23,689.78 = 23,689.78 : x
2. Step 2: Convert to fraction form
   10,969.31/23,689.78 = 23,689.78/x
3. Step 3: Cross multiply
   10,969.31x = 23,689.78 × 23,689.78
4. Step 4: Simplify right side
   10,969.31x = 561,205,735.67
5. Step 5: Solve for x
   x = 561,205,735.67/10,969.31
6. Step 6: Final answer
   x = 51,161.43