Finding the Third Proportional to 2,364.61 and 3,478.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,364.61 : 3,478.36 = 3,478.36 : x
2. Step 2: Convert to fraction form
   2,364.61/3,478.36 = 3,478.36/x
3. Step 3: Cross multiply
   2,364.61x = 3,478.36 × 3,478.36
4. Step 4: Simplify right side
   2,364.61x = 12,098,983.94
5. Step 5: Solve for x
   x = 12,098,983.94/2,364.61
6. Step 6: Final answer
   x = 5,116.69