Finding the Third Proportional to 1,307.59 and 2,003.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,307.59 : 2,003.16 = 2,003.16 : x
2. Step 2: Convert to fraction form
   1,307.59/2,003.16 = 2,003.16/x
3. Step 3: Cross multiply
   1,307.59x = 2,003.16 × 2,003.16
4. Step 4: Simplify right side
   1,307.59x = 4,012,634.96
5. Step 5: Solve for x
   x = 4,012,634.96/1,307.59
6. Step 6: Final answer
   x = 3,068.72