Finding the Third Proportional to 1,346.88 and 2,141.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,346.88 : 2,141.88 = 2,141.88 : x
2. Step 2: Convert to fraction form
   1,346.88/2,141.88 = 2,141.88/x
3. Step 3: Cross multiply
   1,346.88x = 2,141.88 × 2,141.88
4. Step 4: Simplify right side
   1,346.88x = 4,587,628.52
5. Step 5: Solve for x
   x = 4,587,628.52/1,346.88
6. Step 6: Final answer
   x = 3,406.13