Finding the Third Proportional to 1,356.81 and 2,969.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.81 : 2,969.92 = 2,969.92 : x
2. Step 2: Convert to fraction form
   1,356.81/2,969.92 = 2,969.92/x
3. Step 3: Cross multiply
   1,356.81x = 2,969.92 × 2,969.92
4. Step 4: Simplify right side
   1,356.81x = 8,820,410.57
5. Step 5: Solve for x
   x = 8,820,410.57/1,356.81
6. Step 6: Final answer
   x = 6,500.82