Finding the Third Proportional to 6,596.50 and 10,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,596.50 : 10,327.50 = 10,327.50 : x
2. Step 2: Convert to fraction form
   6,596.50/10,327.50 = 10,327.50/x
3. Step 3: Cross multiply
   6,596.50x = 10,327.50 × 10,327.50
4. Step 4: Simplify right side
   6,596.50x = 106,657,256.25
5. Step 5: Solve for x
   x = 106,657,256.25/6,596.50
6. Step 6: Final answer
   x = 16,168.76