Finding the Third Proportional to 6,580 and 10,453

Step by Step Solution

1. Step 1: Write the proportion equation
   6,580 : 10,453 = 10,453 : x
2. Step 2: Convert to fraction form
   6,580/10,453 = 10,453/x
3. Step 3: Cross multiply
   6,580x = 10,453 × 10,453
4. Step 4: Simplify right side
   6,580x = 109,265,209
5. Step 5: Solve for x
   x = 109,265,209/6,580
6. Step 6: Final answer
   x = 16,605.65