Finding the Third Proportional to 6,570 and 9,991.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,570 : 9,991.69 = 9,991.69 : x
2. Step 2: Convert to fraction form
   6,570/9,991.69 = 9,991.69/x
3. Step 3: Cross multiply
   6,570x = 9,991.69 × 9,991.69
4. Step 4: Simplify right side
   6,570x = 99,833,819.10
5. Step 5: Solve for x
   x = 99,833,819.10/6,570
6. Step 6: Final answer
   x = 15,195.41