Finding the Third Proportional to 6,842.92 and 10,302.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,842.92 : 10,302.82 = 10,302.82 : x
2. Step 2: Convert to fraction form
   6,842.92/10,302.82 = 10,302.82/x
3. Step 3: Cross multiply
   6,842.92x = 10,302.82 × 10,302.82
4. Step 4: Simplify right side
   6,842.92x = 106,148,106.39
5. Step 5: Solve for x
   x = 106,148,106.39/6,842.92
6. Step 6: Final answer
   x = 15,512.11