Finding the Third Proportional to 2,346.47 and 5,662.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,346.47 : 5,662.41 = 5,662.41 : x
2. Step 2: Convert to fraction form
   2,346.47/5,662.41 = 5,662.41/x
3. Step 3: Cross multiply
   2,346.47x = 5,662.41 × 5,662.41
4. Step 4: Simplify right side
   2,346.47x = 32,062,844.54
5. Step 5: Solve for x
   x = 32,062,844.54/2,346.47
6. Step 6: Final answer
   x = 13,664.30