Finding the Third Proportional to 1,632.94 and 2,415.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,632.94 : 2,415.09 = 2,415.09 : x
2. Step 2: Convert to fraction form
   1,632.94/2,415.09 = 2,415.09/x
3. Step 3: Cross multiply
   1,632.94x = 2,415.09 × 2,415.09
4. Step 4: Simplify right side
   1,632.94x = 5,832,677.82
5. Step 5: Solve for x
   x = 5,832,677.82/1,632.94
6. Step 6: Final answer
   x = 3,571.89