Finding the Third Proportional to 6,897.38 and 10,346.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,897.38 : 10,346.63 = 10,346.63 : x
2. Step 2: Convert to fraction form
   6,897.38/10,346.63 = 10,346.63/x
3. Step 3: Cross multiply
   6,897.38x = 10,346.63 × 10,346.63
4. Step 4: Simplify right side
   6,897.38x = 107,052,648.89
5. Step 5: Solve for x
   x = 107,052,648.89/6,897.38
6. Step 6: Final answer
   x = 15,520.78