Finding the Third Proportional to 1,406.74 and 2,981.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.74 : 2,981.81 = 2,981.81 : x
2. Step 2: Convert to fraction form
   1,406.74/2,981.81 = 2,981.81/x
3. Step 3: Cross multiply
   1,406.74x = 2,981.81 × 2,981.81
4. Step 4: Simplify right side
   1,406.74x = 8,891,205.79
5. Step 5: Solve for x
   x = 8,891,205.79/1,406.74
6. Step 6: Final answer
   x = 6,320.42