Finding the Third Proportional to 2,345 and 3,713.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,345 : 3,713.25 = 3,713.25 : x
2. Step 2: Convert to fraction form
   2,345/3,713.25 = 3,713.25/x
3. Step 3: Cross multiply
   2,345x = 3,713.25 × 3,713.25
4. Step 4: Simplify right side
   2,345x = 13,788,225.56
5. Step 5: Solve for x
   x = 13,788,225.56/2,345
6. Step 6: Final answer
   x = 5,879.84