Finding the Third Proportional to 1,004.27 and 2,166.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.27 : 2,166.12 = 2,166.12 : x
2. Step 2: Convert to fraction form
   1,004.27/2,166.12 = 2,166.12/x
3. Step 3: Cross multiply
   1,004.27x = 2,166.12 × 2,166.12
4. Step 4: Simplify right side
   1,004.27x = 4,692,063.67
5. Step 5: Solve for x
   x = 4,692,063.67/1,004.27
6. Step 6: Final answer
   x = 4,672.10