Finding the Third Proportional to 1,309.88 and 2,010.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309.88 : 2,010.38 = 2,010.38 : x
2. Step 2: Convert to fraction form
   1,309.88/2,010.38 = 2,010.38/x
3. Step 3: Cross multiply
   1,309.88x = 2,010.38 × 2,010.38
4. Step 4: Simplify right side
   1,309.88x = 4,041,607.64
5. Step 5: Solve for x
   x = 4,041,607.64/1,309.88
6. Step 6: Final answer
   x = 3,085.49