Finding the Third Proportional to 1,625.06 and 2,136.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,625.06 : 2,136.09 = 2,136.09 : x
2. Step 2: Convert to fraction form
   1,625.06/2,136.09 = 2,136.09/x
3. Step 3: Cross multiply
   1,625.06x = 2,136.09 × 2,136.09
4. Step 4: Simplify right side
   1,625.06x = 4,562,896.51
5. Step 5: Solve for x
   x = 4,562,896.51/1,625.06
6. Step 6: Final answer
   x = 2,807.83