Finding the Third Proportional to 1,172.25 and 1,722.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,172.25 : 1,722.94 = 1,722.94 : x
2. Step 2: Convert to fraction form
   1,172.25/1,722.94 = 1,722.94/x
3. Step 3: Cross multiply
   1,172.25x = 1,722.94 × 1,722.94
4. Step 4: Simplify right side
   1,172.25x = 2,968,513.63
5. Step 5: Solve for x
   x = 2,968,513.63/1,172.25
6. Step 6: Final answer
   x = 2,532.32