Finding the Third Proportional to 2,092.78 and 3,166.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.78 : 3,166.17 = 3,166.17 : x
2. Step 2: Convert to fraction form
   2,092.78/3,166.17 = 3,166.17/x
3. Step 3: Cross multiply
   2,092.78x = 3,166.17 × 3,166.17
4. Step 4: Simplify right side
   2,092.78x = 10,024,644.34
5. Step 5: Solve for x
   x = 10,024,644.34/2,092.78
6. Step 6: Final answer
   x = 4,790.11