Finding the Third Proportional to 1,405.69 and 1,533.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.69 : 1,533.09 = 1,533.09 : x
2. Step 2: Convert to fraction form
   1,405.69/1,533.09 = 1,533.09/x
3. Step 3: Cross multiply
   1,405.69x = 1,533.09 × 1,533.09
4. Step 4: Simplify right side
   1,405.69x = 2,350,376.45
5. Step 5: Solve for x
   x = 2,350,376.45/1,405.69
6. Step 6: Final answer
   x = 1,672.05