Finding the Third Proportional to 2,359.76 and 3,484.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,359.76 : 3,484.58 = 3,484.58 : x
2. Step 2: Convert to fraction form
   2,359.76/3,484.58 = 3,484.58/x
3. Step 3: Cross multiply
   2,359.76x = 3,484.58 × 3,484.58
4. Step 4: Simplify right side
   2,359.76x = 12,142,311.93
5. Step 5: Solve for x
   x = 12,142,311.93/2,359.76
6. Step 6: Final answer
   x = 5,145.58