Finding the Third Proportional to 2,159.38 and 3,437.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,159.38 : 3,437.69 = 3,437.69 : x
2. Step 2: Convert to fraction form
   2,159.38/3,437.69 = 3,437.69/x
3. Step 3: Cross multiply
   2,159.38x = 3,437.69 × 3,437.69
4. Step 4: Simplify right side
   2,159.38x = 11,817,695.35
5. Step 5: Solve for x
   x = 11,817,695.35/2,159.38
6. Step 6: Final answer
   x = 5,472.74