Finding the Third Proportional to 1,166.06 and 2,106.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,166.06 : 2,106.84 = 2,106.84 : x
2. Step 2: Convert to fraction form
   1,166.06/2,106.84 = 2,106.84/x
3. Step 3: Cross multiply
   1,166.06x = 2,106.84 × 2,106.84
4. Step 4: Simplify right side
   1,166.06x = 4,438,790.59
5. Step 5: Solve for x
   x = 4,438,790.59/1,166.06
6. Step 6: Final answer
   x = 3,806.65