Finding the Third Proportional to 1,666.22 and 3,646.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,666.22 : 3,646.31 = 3,646.31 : x
2. Step 2: Convert to fraction form
   1,666.22/3,646.31 = 3,646.31/x
3. Step 3: Cross multiply
   1,666.22x = 3,646.31 × 3,646.31
4. Step 4: Simplify right side
   1,666.22x = 13,295,594.85
5. Step 5: Solve for x
   x = 13,295,594.85/1,666.22
6. Step 6: Final answer
   x = 7,979.50