Finding the Third Proportional to 2,384.06 and 3,688.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384.06 : 3,688.41 = 3,688.41 : x
2. Step 2: Convert to fraction form
   2,384.06/3,688.41 = 3,688.41/x
3. Step 3: Cross multiply
   2,384.06x = 3,688.41 × 3,688.41
4. Step 4: Simplify right side
   2,384.06x = 13,604,340.67
5. Step 5: Solve for x
   x = 13,604,340.67/2,384.06
6. Step 6: Final answer
   x = 5,706.37