Finding the Third Proportional to 6,916 and 10,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,916 : 10,391.50 = 10,391.50 : x
2. Step 2: Convert to fraction form
   6,916/10,391.50 = 10,391.50/x
3. Step 3: Cross multiply
   6,916x = 10,391.50 × 10,391.50
4. Step 4: Simplify right side
   6,916x = 107,983,272.25
5. Step 5: Solve for x
   x = 107,983,272.25/6,916
6. Step 6: Final answer
   x = 15,613.54