Finding the Third Proportional to 1,556.75 and 2,346.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,556.75 : 2,346.88 = 2,346.88 : x
2. Step 2: Convert to fraction form
   1,556.75/2,346.88 = 2,346.88/x
3. Step 3: Cross multiply
   1,556.75x = 2,346.88 × 2,346.88
4. Step 4: Simplify right side
   1,556.75x = 5,507,822.27
5. Step 5: Solve for x
   x = 5,507,822.27/1,556.75
6. Step 6: Final answer
   x = 3,538.03