Finding the Third Proportional to 2,398.63 and 3,700.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,398.63 : 3,700.47 = 3,700.47 : x
2. Step 2: Convert to fraction form
   2,398.63/3,700.47 = 3,700.47/x
3. Step 3: Cross multiply
   2,398.63x = 3,700.47 × 3,700.47
4. Step 4: Simplify right side
   2,398.63x = 13,693,468.97
5. Step 5: Solve for x
   x = 13,693,468.97/2,398.63
6. Step 6: Final answer
   x = 5,708.88