Finding the Third Proportional to 2,303 and 3,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,303 : 3,680.50 = 3,680.50 : x
2. Step 2: Convert to fraction form
   2,303/3,680.50 = 3,680.50/x
3. Step 3: Cross multiply
   2,303x = 3,680.50 × 3,680.50
4. Step 4: Simplify right side
   2,303x = 13,546,080.25
5. Step 5: Solve for x
   x = 13,546,080.25/2,303
6. Step 6: Final answer
   x = 5,881.93