Finding the Third Proportional to 2,072.53 and 3,166.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,072.53 : 3,166.31 = 3,166.31 : x
2. Step 2: Convert to fraction form
   2,072.53/3,166.31 = 3,166.31/x
3. Step 3: Cross multiply
   2,072.53x = 3,166.31 × 3,166.31
4. Step 4: Simplify right side
   2,072.53x = 10,025,534.85
5. Step 5: Solve for x
   x = 10,025,534.85/2,072.53
6. Step 6: Final answer
   x = 4,837.34