Finding the Third Proportional to 10,684.31 and 15,679.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684.31 : 15,679.69 = 15,679.69 : x
2. Step 2: Convert to fraction form
   10,684.31/15,679.69 = 15,679.69/x
3. Step 3: Cross multiply
   10,684.31x = 15,679.69 × 15,679.69
4. Step 4: Simplify right side
   10,684.31x = 245,852,600.10
5. Step 5: Solve for x
   x = 245,852,600.10/10,684.31
6. Step 6: Final answer
   x = 23,010.61