Finding the Third Proportional to 6,585 and 10,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,585 : 10,420.50 = 10,420.50 : x
2. Step 2: Convert to fraction form
   6,585/10,420.50 = 10,420.50/x
3. Step 3: Cross multiply
   6,585x = 10,420.50 × 10,420.50
4. Step 4: Simplify right side
   6,585x = 108,586,820.25
5. Step 5: Solve for x
   x = 108,586,820.25/6,585
6. Step 6: Final answer
   x = 16,490.03