Finding the Third Proportional to 1,566.84 and 1,668.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.84 : 1,668.09 = 1,668.09 : x
2. Step 2: Convert to fraction form
   1,566.84/1,668.09 = 1,668.09/x
3. Step 3: Cross multiply
   1,566.84x = 1,668.09 × 1,668.09
4. Step 4: Simplify right side
   1,566.84x = 2,782,536.76
5. Step 5: Solve for x
   x = 2,782,536.76/1,566.84
6. Step 6: Final answer
   x = 1,775.89