Finding the Third Proportional to 1,079.34 and 1,666.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,079.34 : 1,666.69 = 1,666.69 : x
2. Step 2: Convert to fraction form
   1,079.34/1,666.69 = 1,666.69/x
3. Step 3: Cross multiply
   1,079.34x = 1,666.69 × 1,666.69
4. Step 4: Simplify right side
   1,079.34x = 2,777,847.22
5. Step 5: Solve for x
   x = 2,777,847.22/1,079.34
6. Step 6: Final answer
   x = 2,573.64