Finding the Third Proportional to 1,013.25 and 2,172.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.25 : 2,172.38 = 2,172.38 : x
2. Step 2: Convert to fraction form
   1,013.25/2,172.38 = 2,172.38/x
3. Step 3: Cross multiply
   1,013.25x = 2,172.38 × 2,172.38
4. Step 4: Simplify right side
   1,013.25x = 4,719,213.14
5. Step 5: Solve for x
   x = 4,719,213.14/1,013.25
6. Step 6: Final answer
   x = 4,657.50