Finding the Third Proportional to 2,380.50 and 5,201.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,380.50 : 5,201.63 = 5,201.63 : x
2. Step 2: Convert to fraction form
   2,380.50/5,201.63 = 5,201.63/x
3. Step 3: Cross multiply
   2,380.50x = 5,201.63 × 5,201.63
4. Step 4: Simplify right side
   2,380.50x = 27,056,902.64
5. Step 5: Solve for x
   x = 27,056,902.64/2,380.50
6. Step 6: Final answer
   x = 11,366.06