Finding the Third Proportional to 6,967.50 and 10,463.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,967.50 : 10,463.25 = 10,463.25 : x
2. Step 2: Convert to fraction form
   6,967.50/10,463.25 = 10,463.25/x
3. Step 3: Cross multiply
   6,967.50x = 10,463.25 × 10,463.25
4. Step 4: Simplify right side
   6,967.50x = 109,479,600.56
5. Step 5: Solve for x
   x = 109,479,600.56/6,967.50
6. Step 6: Final answer
   x = 15,712.90