Finding the Third Proportional to 4,515.75 and 7,669.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,515.75 : 7,669.69 = 7,669.69 : x
2. Step 2: Convert to fraction form
   4,515.75/7,669.69 = 7,669.69/x
3. Step 3: Cross multiply
   4,515.75x = 7,669.69 × 7,669.69
4. Step 4: Simplify right side
   4,515.75x = 58,824,106.35
5. Step 5: Solve for x
   x = 58,824,106.35/4,515.75
6. Step 6: Final answer
   x = 13,026.43