Finding the Third Proportional to 3,172.50 and 4,666.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,172.50 : 4,666.78 = 4,666.78 : x
2. Step 2: Convert to fraction form
   3,172.50/4,666.78 = 4,666.78/x
3. Step 3: Cross multiply
   3,172.50x = 4,666.78 × 4,666.78
4. Step 4: Simplify right side
   3,172.50x = 21,778,847.24
5. Step 5: Solve for x
   x = 21,778,847.24/3,172.50
6. Step 6: Final answer
   x = 6,864.88