Finding the Third Proportional to 1,533.94 and 2,900.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,533.94 : 2,900.81 = 2,900.81 : x
2. Step 2: Convert to fraction form
   1,533.94/2,900.81 = 2,900.81/x
3. Step 3: Cross multiply
   1,533.94x = 2,900.81 × 2,900.81
4. Step 4: Simplify right side
   1,533.94x = 8,414,713.16
5. Step 5: Solve for x
   x = 8,414,713.16/1,533.94
6. Step 6: Final answer
   x = 5,485.69