Finding the Third Proportional to 2,081.53 and 5,101.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,081.53 : 5,101.31 = 5,101.31 : x
2. Step 2: Convert to fraction form
   2,081.53/5,101.31 = 5,101.31/x
3. Step 3: Cross multiply
   2,081.53x = 5,101.31 × 5,101.31
4. Step 4: Simplify right side
   2,081.53x = 26,023,389.22
5. Step 5: Solve for x
   x = 26,023,389.22/2,081.53
6. Step 6: Final answer
   x = 12,502.04